- 51. S(x) = x + 2x? – 5x – 6 52. (x) = x' + &x? + 11x – 20 53. f(x) = 2r –- 13x² + 24x – 9 54. f(x) = 2x³ – 5x² – 4x + 12 55. f(x) = 3x + 4x² + 4x + 1 56. f(x) 3 Зx3 -7x2 + 12х 28 57. f(x) = x - 10x2 + 28x – 16 58. f(x) = x + 6x? + 6x 4 59. f(x) %3D х* + х - Зх2 — х + 2 60. f(x) = x* – x³ – 6x² + 4x + 8 61. f(x) = 21x* + 22x³ – 99x – 72x + 28 62. f(x) = 54x* – 57x – 323x? + 20x + 12 63. f(x) = x³ – 8x² + 17x – 6 64. f(x) = 2r* + 11r³ – 5x² – 43x + 35 65. f(x) = 4x + 7x? – 2 66. f(х) — 4x4 + 15х?- 4 %3D 67. f(x) = 4x* – &r* – x + 2 68. f(x) = 4x5 + 12x* – x- 3

Q: 3. Factor each of the following fully. a. f(x) = x* + 3x³ 38x² + 24x + 64 b. f(x) = (x – 7)³ – (2x +…

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Q: Compare and contrast the following polynomials: x2 – 16 x* – 16 - Factor 2 – 16 Make a conjecture…

A: We have to compare and contrast the polynomials x2-16 x4-16

Q: QUESTION 6 Use the Factor Theorem to choose factors of P(x)=x* – 16x³+69x²-26x – 112 a. x- 2, x+7 O…

A: Given, P(x)=x4-16x3+69x2-26x-112 According to factor theorem, if P(x) is a polynomial of degree n ≥…

Q: State the remainder theorem and the rational root theorem.

A:

Q: In Problems 11–20, use the Remainder Theorem to find the remainder when f1x2 is divided by x - c.…

A: Since you have asked multiple questions and we will solve the first question for you. If you want…

Q: Find 0 (t) where 0 (t) = 0 + Ot. B

A: Let p1(t)=2+t and p2(t)=1-5t. Also      B=2+t, 1-5t That is   B=p1(t), p2(t) Also given that…

Q: Determine the product of the following: (x - 3) (x + 7) O x2 – 4x + 21 |- O x? + 4x – 21 O x - 10x +…

A: The given equation is:    (x-3)(x+7)

Q: If the generator polynomial p(x)=x^7 + x^5 + x^2+1 is divisible by x+1. True O False C FrontEmale…

A: The generator polynomial p(x)=x7+x5+x2+1 is divisible by x+1

Q: Problem 3: Consider the set of polynomials {-1+3t – 2t“, 4 – 10t + 3t², 4 – 8t – 2t“} . Let p,(t) =…

A: Note:- As per our guidelines, and also, due to time limit  we can answer the first part of this…

Q: The following polynomial has factors (x + 8) and (3x + 2). Determine the value of k. -6x³-55x² + kx…

A: We have a polynomial -6x3-55x2+kx-16 Now, x+8and 3x+2 are the factors. So,  x+8=0 ⇒x=-83x+2=0 ⇒x=-23…

Q: Form the polynomial function that has the following real ZEROS: 3,-1, 2, 4 Section 3.1 O z4 + 2z3 -…

A: Given point is; x = -3,-1,2,4   1) x4+2x3-14x2-13x+24  we find the factor of this function and then…

Q: Which expression is equivalent to 2(x² – 1) + 3x(x - 4)? (1) 5x² – 5 (3) 5x² – 12x – 1 - (2) 5x² – 6…

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Q: For which polynomial is the expression (2y – 3)a factor? O 12y – 8 O 45 y- 20 16y – 54 O 2y? + y3

A: This question can be solved by the method of factorization

Q: %3D 15. Consider a polynomial q(x), such that q(-3) = 8, q(-1) = 0, q(2) = 5, and q(0) = -4. Which…

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Q: Which of the following sets of polynomials span R2 O A and C O A, B and C A and B B and C O A =…

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Q: For questions 10-11, use the table to answer the questions. It is set up to multiply two…

A: In the given table we multiply the two polynomials and from that we answer the question (10) and…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.