21 f(x) = 2x³ + 3x² g(x) = 2x²-x-2 The polynomials f(x) and g(x) are defined above. Which of the following polynomials is divisible by 2x + 1? out the A) h(x) = f(x) + g(x) B) j(x) = f(x) + 2g(x) C) k(x) = 2f(x) + g(x) D) m(x) = 2f(x) + 2g(x) City Ai cloud of City O

Q: The polynomial p(x) = 2-(x+1)+x(x+1)- 2x(x+1)(x–1) interpolates the first four points in the table:…

A: Given, the polynomial p(x)=2-(x+1)+x(x+1)-2x(x+1)(x-1)   interpolates the first four points in the…

Q: Which polynomial function has − 5, − 2, and 8 as zeros? Group of answer choices f ( x ) = ( x + 2 )…

A: Given that a polynomial function has -5,-2 and 8 as zeros. We have to find the polynomial function.…

Q: For the polynomial below, 2 is a zero. h(x)=x'+4x+ 6x- 36 Express h (x) as a product of linear…

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Q: What are all the zeros of the polynomial function f(x) = 3x³ – 5.x² - 10x – 62 A x=±3 only B x = 3,…

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Q: Given f(x)=(x-3)(x+2)(x+3), give a strategy for writing the expanded form of the polynomial

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Q: The zeros of the polynomial P(x) = x* + 3x2 - 4 are %3D (a) 2i,-2i, i and - i (b) 2,-2, i and – i…

A: To find the zeroes

Q: Convert the following polynomials to factorial poly 1. (x-7)(x-6)(x - 5)(x+4) 2. (x+6) (x + 7)(x +…

A: We have to solve 1. (x-7)(x-6)(x-5)(x+4)2. (x+6)(x+7)(x+8)(x+9)(x-10)

Q: Evaluate the following polynomials? 1.P(2)=x³–3x²–x+2 2.P(3)=2x³+2x²–4x+1 3.P(-2)=x³–8x²–2x+5

A: As per the policy we are solving first three subparts.   Please repost and specify which subparts…

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: Given the following polynomial, p(x)=3x³ (3x + Perform the Leading Coefficient Test by answering the…

A: P(x)=3x^3(3x+1)^2(2-x)

Q: consider two polynomials P(x) =6x+1 and Q(x)=4x2-3x+2 carry out the indicated operation and simplify…

A: Explanation of the solution is given below...

Q: = x° + ax? – 3x + b when divided by g1(x) = x – 2 gives a remainder of 6 and f() is divisible i…

A: Given,      f(x)=x3+ax2-3x+b     g1(x)=x-2     g2(x)=x+1

Q: Which polynomial is equal to (x + 1) divided by (x + 1)? А - х3 — х2 -х+1 В — х3 + х2 — х + 1 B x*.…

A: WE HAVE TO FIND ANSWER

Q: For each of the polynomials below, state the degree and the number of nonzero terms, and select the…

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Q: Divide both polynomials by x – 4. 5. f(x) = x³ – 6x² + 5x + 12

A: We have to divide the polynomial by (x-4)

Q: Given three polynomials over 2₂. find (i) (ii) f(x) + g(x). f(x)h(x). f(x) = 6x³-5x² + 2x - 4, g(x)…

A: Please see the attachment

Q: Let f(x) = - x +11a* – 16 - 31a + 12x + 23. Use the factor and remainder theorems to determine: (a)…

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Q: 1. Identify the degree, end behavior and roots (w (a) f(x) = r³(x + 1)²(x² + 9)(x² – 4) - (b) /(x) =…

A: Degree of polynomial is the highest power of 'x' on polynomial equation Roots are found when f(x) =…

Q: h(x) =x + x - 9x - 9 2 h(x)=Dx 6.

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Q: find all polynomials P(x) and Q(x) satisfying, for all x∈R the equalities: P(Q(x))=x4-5x2+7 and…

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