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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff26fda3f-4323-495f-b28b-f131dcfa5992%2F2bd9d63d-6ecd-4c26-aa98-c4c524445f25%2F4dpwzhs_processed.jpeg&w=3840&q=75)
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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