5. Given the function P(x) = x³+4x²+ kx + 15, for what value of k is (x + 3) a factor of P(x)? 26 8 8 -26

Q: If f(x) = 2x +1 and g (x) = 4x - 4, what is f(0) x g (0)? A) -5 B) -4 C) 4 D) 8

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Q: DETERMINE the qoutient Q(X)AND REMINDER R(X)FOR (x³ -2x² +112x+3) ÷ (x+3)

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Q: 4. Given that 6 is a factor of the function: f(x) = x³-3x² - 16x – 12 - Factor the function.

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Q: find the range values of B for which  x2 + 4Bx + B to be positive for all real values of x

A: To find the range values of B for which  x2 + 4Bx + B to be positive for all real values of x

Q: Which of the following is not a factor of p(x) = 6x³ - 23x² - 33x - 10? Ox-5 2x+1 3x+2 2x-3

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Q: Determine the value of k in f(x) = 5x³+kx²-4x+4 such that X+2 is a factor. Answer:

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Q: Let f(x) = 5x³-10x2+x-2. If f(2)= 0, then (x-2) is a factor of f(x). K O True O False

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Q: Determine the value of if q(x) if x = 6 3x4-6x3+11x2-x+4 = (3x2+2)q(x)+r(x)

A: Given:- 3x4-6x3+11x2-x+4 = (3x2+2)q(x)+r(x)  To find:- q(x) at x= 6 Method:- Here we know 3x2+2 is…

Q: Consider polynomial P(x) = x³ +x² – 10x – 10. 1. Is x+1 one of the factors of P? Explain.

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Q: Find all zeros. 15) f(x)= 3x-13x + 13x-3x 16) (x) =x-64

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Q: Which of the following is a partially factored form of the function f(x) = x² + 5x² - 2x-24?…

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Q: Determine if the given binomials are factors of the function. f(x) = 4x 5 - - 9x 4 3 + 39x + 24x 2 +…

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Q: 5. Find mZHGI. F G (7x - 1) (4r + 3)"-

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Q: 3x2 – 4x + 5 (x – 1)(x² + 1)

A: we will solve the integral by using partial fraction decomposition.

Q: (x+1) is a factor of x²+2x²+2x+1 Find the other factor.

A: is a factor of .To find other factor.

Q: Which of these is not an appröprlate st in factoring f (x)= 4x? – 3zy + 20z – 15y? 4a2 + 20x – 3ay –…

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Q: 15. For the polynomial 3 x*-2x²+5x-8,state the following: a. The degree of the polynomial b. The…

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Q: If one zero of a polynomial 3x? – 8x + 2k +1=0 is seven times the other then k = 2 1 (D) none (A) 5…

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Q: 16. Show that (x + 1) is a factor of p(x) = x³ + 2x² + 3x +2

A: We have to show that x+1 is a factor of p(x)=x2+2x2+3x+2 .

Q: 10 Verify that given factors of f(x) and write complete factorization of f(x). a) f(x) = 5x³ – 6x² –…

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Q: 5) Find GF

A: Given,

Q: ow that x+a is a factor of the polynomial p(x)= (x+a)ª+(x+c)ª-(a-

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Q: find the missing P and Q (x+P)(x+7)=x2+15x+Q

A: Given

Q: Q.20 Find the value of k if (x – 1) is a factor of 4x +3x -4x+k. Factorise: (i) 12x² – 7x+1 (ii) 84–…

A: As per bartleby guidelines we are supported to answer only first three subparts , kindly repost…