Problem 1SP: Add or subtract as indicated, and simplify.... Problem 2SP Problem 3SP: a. Multiply. 5w3+2y5w32y b. Square the binomial. 6p+52 Problem 4SP: Multiply and simplify. Assume that all variable expressions represent positive real numbers.... Problem 5SP: Factor by grouping. 7cdc2+14d2c Problem 6SP Problem 7SP: Factor. 30m3200m2n70mn2 Problem 8SP: Factor. a.64y2+16y+1b.9m430m2n+25n2 Problem 9SP: Factor completely. a.t2121b.625z5z Problem 10SP: Factor Completely. a.u3+27b.64v325z6 Problem 11SP: Factor completely. x5x364x2+64 Problem 12SP: Factor completely. 36m26mn9n2 Problem 13SP Problem 14SP: Factor completely and write the answer with no negative exponents. a.11a53a4+2a3b.x4x+33/4+4x+31/4 Problem 1PE: The term of a polynomial is the term of highest degree. Problem 2PE: The leading of a polynomial is the numerical factor of the leading term. Problem 3PE: A is a polynomial that has two terms, and a is a polynomial with three terms. Problem 4PE: The conjugate of 3x is . Problem 5PE: The binomial a3+b3 is called a sum of and factors as . Problem 6PE: The binomial a3b3 is called a of cubes and factors as . Problem 7PE: The trinomial a2+2ab+b2 is a square trinomial its factored form is . Problem 8PE: The binomial a2b2 is called a difference of and factors as . Problem 9PE: For Exercises 9-10, determine if the expression is a polynomial. a.4a2+7b3b.34x2yc.6x+7x+5d.p2+2p5 Problem 10PE: For Exercises 9-10, determine if the expression is a polynomial.... Problem 11PE: For Exercises 11-14, add or subtract as indicated and simplify. (See Example 1)... Problem 12PE Problem 13PE: For Exercises 11-14, add or subtract as indicated and simplify. (See Example 1)... Problem 14PE: For Exercises 11-14, add or subtract as indicated and simplify. (See Example 1)... Problem 15PE: For Exercises 15-22, multiply and simplify. (See Example 2) 7m22m43m+4 Problem 16PE Problem 17PE: For Exercises 15-22, multiply and simplify. (See Example 2) 2x5x+4 Problem 18PE Problem 19PE Problem 20PE: For Exercises 15-22, multiply and simplify. (See Example 2) 2z3+5u27z3u2 Problem 21PE Problem 22PE: For Exercises 15-22, multiply and simplify. (See Example 2) 10v515v23v+1 Problem 23PE: Write the expanded from for a+b2. Problem 24PE: Write the expanded from for a+bab. Problem 25PE: For Exercises 25-38, perform the indicated operations and simplify. (See Example 3) 4x54x+5 Problem 26PE Problem 27PE: For Exercises 25-38, perform the indicated operations and simplify. (See Example 3) 3w27z3w2+7z Problem 28PE: For Exercises 25-38, perform the indicated operations and simplify. (See Example 3) 9v3+2u9v32u Problem 29PE Problem 30PE: For Exercises 25-38, perform the indicated operations and simplify. (See Example 3) 16n45p416n+45p4 Problem 31PE: For Exercises 25-38, perform the indicated operations and simplify. (See Example 3) 5m32 Problem 32PE: For Exercises 25-38, perform the indicated operations and simplify. (See Example 3) 7v22 Problem 33PE: For Exercises 25-38, perform the indicated operations and simplify. (See Example 3) 4t2+3p32 Problem 34PE: For Exercises 25-38, perform the indicated operations and simplify. (See Example 3) 2a2+11b32 Problem 35PE Problem 36PE: For Exercises 25-38, perform the indicated operations and simplify. (See Example 3) p23 Problem 37PE Problem 38PE Problem 39PE: Suppose that x represents the smaller of two consecutive integers. a. Write a polynomial that... Problem 40PE: Suppose that x represents the larger of two consecutive odd integers. a. Write a polynomial that... Problem 41PE: For Exercises 41-48, simplify each expression. y+722y32 Problem 42PE: For Exercises 41-48, simplify each expression. x426x+12 Problem 43PE: For Exercises 41-48, simplify each expression. xn+3xn7 Problem 44PE: For Exercises 41-48, simplify each expression. yn+4yn5 Problem 45PE Problem 46PE: For Exercises 41-48, simplify each expression. wnym2 Problem 47PE: For Exercises 41-48, simplify each expression. 6x+56x56x+52 Problem 48PE: For Exercises 41-48, simplify each expression. 2y72y+72y72 Problem 49PE: For Exercises 49-66, multiply and simplify. Assume that all variable expressions represent positive... Problem 50PE Problem 51PE: For Exercises 49-66, multiply and simplify. Assume that all variable expressions represent positive... Problem 52PE Problem 53PE Problem 54PE: For Exercises 49-66, multiply and simplify. Assume that all variable expressions represent positive... Problem 55PE: For Exercises 49-66, multiply and simplify. Assume that all variable expressions represent positive... Problem 56PE Problem 57PE Problem 58PE: For Exercises 49-66, multiply and simplify. Assume that all variable expressions represent positive... Problem 59PE: For Exercises 49-66, multiply and simplify. Assume that all variable expressions represent positive... Problem 60PE Problem 61PE Problem 62PE: For Exercises 49-66, multiply and simplify. Assume that all variable expressions represent positive... Problem 63PE: For Exercises 49-66, multiply and simplify. Assume that all variable expressions represent positive... Problem 64PE Problem 65PE: For Exercises 49-66, multiply and simplify. Assume that all variable expressions represent positive... Problem 66PE Problem 67PE: For Exercises 67-72, factor out the greatest common factor. 15c530c4+5c3 Problem 68PE Problem 69PE: For Exercises 67-72, factor out the greatest common factor. 21a2b514a3b4+35a4b Problem 70PE: For Exercises 67-72, factor out the greatest common factor. 36p4q7+18p3q527p2q6 Problem 71PE Problem 72PE Problem 73PE: For Exercises 73-76, factor out the indicated common factor.... Problem 74PE: For Exercises 73-76, factor out the indicated common factor.... Problem 75PE Problem 76PE: For Exercises 73-76, factor out the indicated common factor. Factorout7a3b.14a4b3+21a3b27a3b Problem 77PE: For Exercises 77-82, factor by grouping. (See Example 5) 8ax+18a+20x+45 Problem 78PE: For Exercises 77-82, factor by grouping. (See Example 5) 6ty+9y+14t+21 Problem 79PE: For Exercises 77-82, factor by grouping. (See Example 5) 12x39x240x+30 Problem 80PE: For Exercises 77-82, factor by grouping. (See Example 5) 30z335z224z+28 Problem 81PE: For Exercises 77-82, factor by grouping. (See Example 5) cd8d+4c2d2 Problem 82PE Problem 83PE: For Exercises 83-94, factor the trinomials. (See Examples 6-8) p2+2p63 Problem 84PE: For Exercises 83-94, factor the trinomials. (See Examples 6-8) w2+5w66 Problem 85PE: For Exercises 83-94, factor the trinomials. (See Examples 6-8) 2t328t2+80t Problem 86PE Problem 87PE: For Exercises 83-94, factor the trinomials. (See Examples 6-8) 7y3z40y2z212yz3 Problem 88PE: For Exercises 83-94, factor the trinomials. (See Examples 6-8) 11a3b+18a2b28ab3 Problem 89PE: For Exercises 83-94, factor the trinomials. (See Examples 6-8) t218t+81 Problem 90PE: For Exercises 83-94, factor the trinomials. (See Examples 6-8) p2+8p+16 Problem 91PE: For Exercises 83-94, factor the trinomials. (See Examples 6-8) 50x3+160x2y+128xy2 Problem 92PE: For Exercises 83-94, factor the trinomials. (See Examples 6-8) 48y372y2z+27yz2 Problem 93PE: For Exercises 83-94, factor the trinomials. (See Examples 6-8) 4c420c2d3+25d6 Problem 94PE: For Exercises 83-94, factor the trinomials. (See Examples 6-8) 9m4+42m2n4+49n8 Problem 95PE: For exercises 95-106, factor the binomials. (see Examples 9-10) 9w264 Problem 96PE: For exercises 95-106, factor the binomials. (see Examples 9-10) 16t249 Problem 97PE Problem 98PE: For exercises 95-106, factor the binomials. (see Examples 9-10) 75m627n4 Problem 99PE: For exercises 95-106, factor the binomials. (see Examples 9-10) 625p416 Problem 100PE: For exercises 95-106, factor the binomials. (see Examples 9-10) 81z41 Problem 101PE Problem 102PE Problem 103PE: For exercises 95-106, factor the binomials. (see Examples 9-10) c427c Problem 104PE: For exercises 95-106, factor the binomials. (see Examples 9-10) d48d Problem 105PE Problem 106PE: For exercises 95-106, factor the binomials. (see Examples 9-10) 27m1264n9 Problem 107PE: For exercises 107-130, factor completely. (see Examples 11-13) 30x4+70x3120x2280x Problem 108PE Problem 109PE: For exercises 107-130, factor completely. (see Examples 11-13) a2y2+10y25 Problem 110PE Problem 111PE: For exercises 107-130, factor completely. (see Examples 11-13) x2223x2228 Problem 112PE: For exercises 107-130, factor completely. (see Examples 11-13) y2+22+5y2+224 Problem 113PE Problem 114PE: For exercises 107-130, factor completely. (see Examples 11-13) y3+34249 Problem 115PE: For exercises 107-130, factor completely. (see Examples 11-13) x+y3+z3 Problem 116PE: For exercises 107-130, factor completely. (see Examples 11-13) a+53b3 Problem 117PE Problem 118PE Problem 119PE Problem 120PE: For exercises 107-130, factor completely. (see Examples 11-13) d+624d32 Problem 121PE Problem 122PE: For exercises 107-130, factor completely. (see Examples 11-13) t1+27t4t327 Problem 123PE: For exercises 107-130, factor completely. (see Examples 11-13) m6+26m327 Problem 124PE Problem 125PE: For exercises 107-130, factor completely. (see Examples 11-13) 16x6z+38x3z54z Problem 126PE Problem 127PE: For exercises 107-130, factor completely. (see Examples 11-13) x2y2x+y Problem 128PE Problem 129PE Problem 130PE Problem 131PE: For Exercises 131-142, Factors completely. Write the answer with positive exponents only. (See... Problem 132PE Problem 133PE Problem 134PE Problem 135PE: For Exercises 131-142, Factors completely. Write the answer with positive exponents only. (See... Problem 136PE Problem 137PE Problem 138PE Problem 139PE: For Exercises 131-142, Factors completely. Write the answer with positive exponents only. (See... Problem 140PE: For Exercises 131-142, Factors completely. Write the answer with positive exponents only. (See... Problem 141PE Problem 142PE Problem 143PE: Explain the similarity in simplifying the given expressions. a.3x+24x7b.3x+24x7 Problem 144PE: Explain the similarity in simplifying the given expressions. a.x+3x3b.x+3x3 Problem 145PE: Why is the sum of squares a2+b2 not factorable over the real number? Problem 146PE: Explain the similarity in the process to factor out the GCF in the following two expressions.... Problem 147PE Problem 148PE Problem 149PE Problem 150PE: We say that the expression x24 is factorable over the integers as x+2x2 . Notice that the constant... Problem 151PE Problem 152PE: We say that the expression x24 is factorable over the integers as x+2x2 . Notice that the constant... Problem 153PE: For Exercises 153-156, determine if the statement is true or false. If a statement is false, Explain... Problem 154PE: For Exercises 153-156, determine if the statement is true or false. If a statement is false, Explain... Problem 155PE: For Exercises 153-156, determine if the statement is true or false. If a statement is false, Explain... Problem 156PE: For Exercises 153-156, determine if the statement is true or false. If a statement is false, Explain... Problem 1PRE: Many expressions in algebra look similar but the methods used to simplify the expressions may be... Problem 2PRE Problem 3PRE Problem 4PRE Problem 5PRE Problem 6PRE: Many expressions in algebra look similar but the methods used to simplify the expressions may be... Problem 7PRE Problem 8PRE Problem 9PRE: Many expressions in algebra look similar but the methods used to simplify the expressions may be... Problem 10PRE Problem 11PRE: Many expressions in algebra look similar but the methods used to simplify the expressions may be... Problem 12PRE Problem 13PRE Problem 14PRE: Many expressions in algebra look similar but the methods used to simplify the expressions may be... format_list_bulleted