a. Given the set {-3x3 + 2x2 + x – 2, –3 z3 + 2x² + x – 2,2 a3 – 2 22 + 1, x³ + 3x² – 3x + 2} write a statement involving a polynomial equation that's equivalent to each claim below. o The set of polynomials spans P3 o The set of polynomials does not span P3 b. Explain how to determine which of these statements is true.

Q: The number of zeros of the polynomial x² + 4x +1 in Z, is: 4 2 None

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Q: Express as a polynomial.

A: To express 13a2+4b13a2-4b as a polynomial. Solution: We have identity a+ba-b=a2-b2. Using the above…

Q: True or False: The degree of any constant monomial is always zero. True O False

A: Monomial is a polynomial which has coefficient of maximum degree is 1.

Q: Which of the following are polynomials Choose all answers that apply: x² + y² + 20 2010 20 ©a¹b²+c

A: Find which equation is polynomial

Q: Simplify the following polynomial by combining like terms. 8z - 12 + 6z + 9 O 3- 14z O 14z -3 O 11z…

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Q: a. Rewrite the polynomial 2x² + x in standard form. ° +-7x + 1 b., What is the leading coefficient?…

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Q: The number of zeros of the polynomial x? + 2x +3 in Z, is: 1 None 4.

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Q: Find the product. (æ+ 5) (2x – 3) O 2x? - 13x – 15 O 2x? + 7x – 15 O 2x2 7x 15 O 2x + 13.r 15

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Q: 2. Simplify each polynomial. Gather like terms. a)-p +5q – 8r – q+ 3p+9r +1 c) 5q - 9s – 8r + 8q –…

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Q: form a pollynomial whoe real zeros and degree are seros -4,0,3 degrtee 3

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Q: The number of zeros of the polynomial x?+ 4x +1 in Zs is:

A: As Z_6 is finite, we check for zeros of polynomial by substituting every  elements of Z_6.

Q: 3) Show that (a + b +c)² = a² + b² + c² + 2ab + 2ac + 2bc is a polynomial identity.

A: To show: a+b+c2=a2+b2+c2+2ab+2ac+2bc

Q: True or False: The degree of the following polynomial is 7: &x+&g. O True O False

A: Degree of polynomial with two variable It is the maximum degree of the degrees of the terms with…

Q: Rewrite the polynomials in the form ax+by+c and then identify the values of a,b and c

A: Given polynomial is: - 9y - 3x + 9 We can rewrite the above polynomial as: - 3x - 9y + 9 = ax + by +…

Q: Determine positive integers A, B, C, D, E and F such that 9n-14 6x2 -132-5 A Bx+C Ex-F A B = C = D =…

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Q: 21. Write the expression (x + 6)(x – 4) as a polynomial in standard form. A. x - 10x + 2 B. x + 10x…

A: To write the expression as a polynomial in standard form.

Q: Find the polynomial to represent (3x-7)2. O 9r2 - 21x + 49 O 9x2 + 21x + 49 9z2 – 42x + 49 9x2 + 42x…

A: We have to find the polynomial which represents the given expression: 3x-72 We know the algebraic…

Q: a) 2x + 5 > 4x – 3

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Q: Given that 3x - 5 x²(x - 1) = A B x x² + C + x for some constant real x-1 numbers A, B and C. Find…

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Q: Which of the following polynomial expressions factors into (3x + 3)(3x + 8)? O 9x? - 30x - 24 O 9x2…

A: We can find the answer as below.

Q: 4 from 8.2? Your answer should be a polynomial in standard form, Subtract 3c2+7r x- 6r +2. 1.

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Q: 1. Factor each polynomial. a) x² - 100 b) 2x? - 6x - 36

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Q: The number of zeros of the polynomial x² + 2x + 3 in Z, is: O None O 1 O 2 4

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Q: Factor.  A) x2-2x-35   B) x2+2x-35

A: A) We will factor -35 so that the sum of the factors= -2 Such factors are -7 and 5 So we write -2x…

Q: 1. Let (x - 1) be a factor of 3x³ - 8x² + 3x + 2. Find the other factors of the polynomial.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: b2-4ac is zero there will be

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Q: If x=3 and x= -5 are zeros of  4x4-20x3-31x2-170x-75, find the other zeros algebraically

A: The question is wrong please look at the question again x = 3 is not a zero of the given polynomial.

Q: 5. 4x - 3 Name: 6. 7x2 - 4x + 10 Name: 7. 10x2y- 4x Name: |

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Q: Directions: Write each polynomial in standard form. 1) 3x + 1+2x² 2) k? + 64 – k + 7k³

A: the given polynomials are: 3x+1+2x2 and k2+64-k+7k3 the degree of the term is the value of the…

Q: Which set of values for x should be tested to determine the possible zeros of 2x³ - 3x² + 3x - 10? O…

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