9. A polynomial function p(x) has exactly four roots: -2i, 2i, -5, and 1. Which of the following could be p(x)? A p(z) = (x +5) (x – 1) (x² + 4) p(z) = (1 – 5) (x + 1) (z² + 4) p(z) (- 5) (z - 1) (x² – 4) %3D

Q: Given P(23) = -29, P'(23) = -11, P" (23) = –11, P" (23) = 13, P(4) (23) = 29, P(5) (23) = 17, create…

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Q: A quadratic polynomial y = 4x2 +7x -3 has roots p and q. Find a quadratic g(x) = x² + ax +B with…

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Q: Now let f(x) be a polynomial of order n, i.e. one whose highest non-zero coeffi- cient is c,. For…

A: We will use repeated differentiation to prove this

Q: 2 17. The polynomial P(x) = x* - &x – of x = 1, 3, and -2+i. What is its fourth zero? 8x +15 has…

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Q: 3. Let p(x) = 6xª – 13x³ + 13x² – 2. - (a) Find q(x) such that p(x) = (2x – 1)q(x) using synthetic…

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Q: Consider the polynomial equation of P(r) = 0 where P(x) = #* – a* – ² – a – - 2. - T (a) What are…

A: The given polynomial is Px=x4-x3-x2-x-2.

Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x + ax + Bwith…

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Q: L1Q13. Find the end behavior of the polynomial function y = 9x2 + 8x + 9. A....f(x) → -∞ as x → ±∞…

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Q: The interpolating polynomial p(x) of degree 2 of f(x) = 6xª – 2x³ + x² + 9 is p(x) = x² + 9. %3D…

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Q: Using Newton's Divided Difference, the polynomial that interpolates x + sinx at the points x, =1,x2…

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Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + ß with…

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Q: Also, our definition of the first 4 Legendre polynomials is: 1 Po(x) V2 P1 (x) = V5/2 (1 – 312)…

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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: B. Find the real zeros and sketch the graph of the following polynomial functions. 1) P(x) = (x +…

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Q: How many roots are there for the polynomial that factors into f(x) = (x² – 1)(x + 2)(æ – 1)2? 3.

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Q: A quadratic polynomial y = 4x +7x – 3 has roots p and q. Find a quadratic g(x), = x² + ax + ß with…

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Q: XII. Given two polynomials: A(x) = 12x3 - 4x2 - 3x +1 B(x) = (3x – 1)(5x – 2) – (9x² – 6x + 1) 1)…

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Q: Which polynomial has the zeros 1, –1, & -4? O y = (x+1)(x – 1)(x+ 4) O y = (x+1)x –1)(x – 4) o y…

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Q: Using Newton's Divided Difference, the polynomial that interpolates x + sinx at the points x, =1,x2…

A: Newton's Divided Difference table is given by x P(x) Pxi , xj Pxi , xj , xk Pxi , xj , xk , xl…

Q: 1. Sketch the polynomial /(x) = (2-x)²(x+1)(x-4)³

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Polynomials

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