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4. Horner's method: p(x) = 4x4 + 5x³ – 2x2 – 4x + 7 a. Repeatedly factor out x in the following polynomial so that you can apply Horner's method. Write your expression for p(x). b. Show values of the array P[..n] as needed to apply Horner's method. c. Apply Horner's method to evaluate the polynomial at x = 2. Make a table as we did in class showing the values x, p, n, and i, and then state your final answer for p(2). p n i

4. Horner's method: p(x) = 4x4 + 5x³ – 2x2 – 4x + 7 a. Repeatedly factor out x in the following polynomial so that you can apply Horner's method. Write your expression for p(x). b. Show values of the array P[..n] as needed to apply Horner's method. c. Apply Horner's method to evaluate the polynomial at x = 2. Make a table as we did in class showing the values x, p, n, and i, and then state your final answer for p(2). p n i

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 49E
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4. Horner's method: p(x) — 4x4 +5x3 — 2х2 —4х + 7 a. Repeatedly factor out x in the following polynomial so that you can apply Horner's method. Write your expression for p(x). b. Show values of the array P[0..n] as needed to apply Horner's method. c. Apply Horner's method to evaluate the polynomial at x = 2. Make a table as we did in class showing the values x, p, n, and i, and then state your final answer for p(2). p i p(2) = d. Use synthetic (not long) division to divide p(x) by x – 2 to check your work. Be sure to show your work.
Transcribed Image Text:4. Horner's method: p(x) — 4x4 +5x3 — 2х2 —4х + 7 a. Repeatedly factor out x in the following polynomial so that you can apply Horner's method. Write your expression for p(x). b. Show values of the array P[0..n] as needed to apply Horner's method. c. Apply Horner's method to evaluate the polynomial at x = 2. Make a table as we did in class showing the values x, p, n, and i, and then state your final answer for p(2). p i p(2) = d. Use synthetic (not long) division to divide p(x) by x – 2 to check your work. Be sure to show your work.
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