Problem 1SP: Factor. x 2 − 5 x − 14 Problem 2SP: Factor. z 2 − 16 z + 48 Problem 3SP: Factor.
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Problem 4SP: Factor. 30 y 3 + 2 y 4 + 112 y 2 Problem 5SP: Factor. − x 2 + x + 12 Problem 6SP: Factor.
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Problem 7SP: Factor. x 2 − 7 x + 28 Problem 1PE: a. Given a trinomial x 2 + b x + c , if c is positive, then the signs in the binomial factors are... Problem 2PE: For Exercises 2-6, factor completely.
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Problem 3PE: For Exercises 2-6, factor completely. 3 t ( t − 5 ) − 6 ( t − 5 ) Problem 4PE: For Exercises 2-6, factor completely.
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Problem 5PE: For Exercises 2-6, factor completely.
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Problem 6PE: For Exercises 2-6, factor completely.
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Problem 7PE: For Exercises 7-20, factor completely. (See Examples 1, 2, and 5.) x 2 + 10 x + 16 Problem 8PE: For Exercises 7-20, factor completely. (See Examples 1, 2, and 5.)
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Problem 9PE: For Exercises 7-20, factor completely. (See Examples 1, 2, and 5.)
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Problem 10PE: For Exercises 7-20, factor completely. (See Examples 1, 2, and 5.)
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Problem 11PE: For Exercises 7-20, factor completely. (See Examples 1, 2, and 5.)
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Problem 12PE: For Exercises 7-20, factor completely. (See Examples 1, 2, and 5.)
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Problem 13PE: For Exercises 7-20, factor completely. (See Examples 1, 2, and 5.)
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Problem 14PE: For Exercises 7-20, factor completely. (See Examples 1, 2, and 5.) a 2 − 10 a + 9 Problem 15PE: For Exercises 7-20, factor completely. (See Examples 1, 2, and 5.)
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Problem 16PE: For Exercises 7-20, factor completely. (See Examples 1, 2, and 5.) m 2 − 12 m + 11 Problem 17PE: For Exercises 7-20, factor completely. (See Examples 1, 2, and 5.)
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Problem 18PE: For Exercises 7-20, factor completely. (See Examples 1, 2, and 5.)
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Problem 19PE: For Exercises 7-20, factor completely. (See Examples 1, 2, and 5.) n 2 + 8 n + 16 Problem 20PE: For Exercises 7-20, factor completely. (See Examples 1, 2, and 5.) v 2 + 10 v + 25 Problem 21PE: For Exercises 21-24, assume that b and c represent positive integers. When factoring a polynomial of... Problem 22PE: For Exercises 21-24, assume that b and c represent positive integers. When factoring a polynomial of... Problem 23PE: For Exercises 21-24, assume that b and c represent positive integers.
23. When factoring a... Problem 24PE: For Exercises 21-24, assume that b and c represent positive integers. When factoring a polynomial of... Problem 25PE: Which is the correct factorization of y2y12? Explain. (y4)(y+3) or (y+3)(y4). Problem 26PE: Which is the correct factorization of x2+14x+13/ Explain (x+13)(x+1) or (x+1)(x+13). Problem 27PE: Which is the correct factorization of w2+2w+1? Explain (w+1)(w+1) or (w+1)2. Problem 28PE: Which is the correct factorization of z24z+4? Explain (z2)(z2) or (z2)2. Problem 29PE: 29. In what order should a trinomial be written before attempting to factor it?
Problem 30PE: Referring to page 427, write two important guidelines to follow when factoring trinomials. Problem 31PE: For Exercises, factor completely. Be sure to factor out the GCF when necessary. (See Examples... Problem 32PE: For Exercises, factor completely. Be sure to factor out the GCF when necessary. (See Examples... Problem 33PE: For Exercises, factor completely. Be sure to factor out the GCF when necessary. (See Examples... Problem 34PE: For Exercises 31 − 66 , factor completely. Be sure to factor out the GCF when necessary. (See... Problem 35PE: For Exercises, factor completely. Be sure to factor out the GCF when necessary. (See Examples... Problem 36PE: For Exercises, factor completely. Be sure to factor out the GCF when necessary. (See Examples... Problem 37PE: For Exercises, factor completely. Be sure to factor out the GCF when necessary. (See Examples... Problem 38PE: For Exercises 31 − 66 , factor completely. Be sure to factor out the GCF when necessary. (See... Problem 39PE: For Exercises 31 − 66 , factor completely. Be sure to factor out the GCF when necessary. (See... Problem 40PE: For Exercises 31 − 66 , factor completely. Be sure to factor out the GCF when necessary. (See... Problem 41PE: For Exercises 31 − 66 , factor completely. Be sure to factor out the GCF when necessary. (See... Problem 42PE: For Exercises 31 − 66 , factor completely. Be sure to factor out the GCF when necessary. (See... Problem 43PE: For Exercises, factor completely. Be sure to factor out the GCF when necessary. (See Examples... Problem 44PE: For Exercises 31 − 66 , factor completely. Be sure to factor out the GCF when necessary. (See... Problem 45PE: For Exercises, factor completely. Be sure to factor out the GCF when necessary. (See Examples... Problem 46PE: For Exercises 31 − 66 , factor completely. Be sure to factor out the GCF when necessary. (See... Problem 47PE: For Exercises 31 − 66 , factor completely. Be sure to factor out the GCF when necessary. (See... Problem 48PE: For Exercises 31 − 66 , factor completely. Be sure to factor out the GCF when necessary. (See... Problem 49PE: For Exercises 31 − 66 , factor completely. Be sure to factor out the GCF when necessary. (See... Problem 50PE: For Exercises, factor completely. Be sure to factor out the GCF when necessary. (See Examples... Problem 51PE: For Exercises 31 − 66 , factor completely. Be sure to factor out the GCF when necessary. (See... Problem 52PE: For Exercises, factor completely. Be sure to factor out the GCF when necessary. (See Examples... Problem 53PE: For Exercises, factor completely. Be sure to factor out the GCF when necessary. (See Examples... Problem 54PE: For Exercises, factor completely. Be sure to factor out the GCF when necessary. (See Examples... Problem 55PE: For Exercises, factor completely. Be sure to factor out the GCF when necessary. (See Examples... Problem 56PE: For Exercises 31 − 66 , factor completely. Be sure to factor out the GCF when necessary. (See... Problem 57PE: For Exercises, factor completely. Be sure to factor out the GCF when necessary. (See Examples... Problem 58PE: For Exercises 31 − 66 , factor completely. Be sure to factor out the GCF when necessary. (See... Problem 59PE: For Exercises, factor completely. Be sure to factor out the GCF when necessary. (See Examples... Problem 60PE: For Exercises, factor completely. Be sure to factor out the GCF when necessary. (See Examples... Problem 61PE: For Exercises, factor completely. Be sure to factor out the GCF when necessary. (See Examples... Problem 62PE: For Exercises, factor completely. Be sure to factor out the GCF when necessary. (See Examples... Problem 63PE: For Exercises 31 − 66 , factor completely. Be sure to factor out the GCF when necessary. (See... Problem 64PE: For Exercises 31 − 66 , factor completely. Be sure to factor out the GCF when necessary. (See... Problem 65PE: For Exercises 31 − 66 , factor completely. Be sure to factor out the GCF when necessary. (See... Problem 66PE: For Exercises 31 − 66 , factor completely. Be sure to factor out the GCF when necessary. (See... Problem 67PE: A student factored a trinomial as ( 2 x − 4 ) ( x − 3 ) . The instructor did not give full credit.... Problem 68PE: 68. A student factored a trinomial as. The instructor did not give full credit. Why?
Problem 69PE: What polynomial factors as ( x − 4 ) ( x + 13 ) ? Problem 70PE: 70. What polynomial factors as?
Problem 71PE: Raul purchased a parcel of land in the country. The given expressions represent the lengths of the... Problem 72PE:
72. Jamison painted a mural in the shape of a triangle on the wall of a building. The given... Problem 73PE: For Exercises, factor completely.
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Problem 74PE: For Exercises, factor completely.
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Problem 75PE: For Exercises, factor completely.
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Problem 76PE: For Exercises 73 − 76 , factor completely. p 4 − 13 p 2 + 40 Problem 77PE: For Exercises 73 − 76 , factor completely. Find all integers, b, that make the trinomial x 2 + b x +... Problem 78PE: For Exercises 73 − 76 , factor completely. Find all integers, b, that make the trinomial x 2 + b x +... Problem 79PE: For Exercises, factor completely.
79. Find a value of c that makes the trinomial factorable.
Problem 80PE: For Exercises, factor completely.
80. Find a value of c that makes the trinomial factorable.
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