(6) Find (–x³ + 7x² – x) + (x² – x² + 1) Write the polynomial in the form of P(x) = d(x)q(x) + r(x)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 105E
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Practice Questions on Polynomials
(6) Find (-x5 + 7x – x) + (x³ – x² + 1)
Write the polynomial in the form of P(x) = d(x)q(x) + r(x)
(7) Determine P(e) using the remainder theorem for P(x) = x² - 4x + 1, and the value of c is
2- J3
[Note if P(c) = 0, factor P(x) = (x-c)qx]
(8) (i)
Show that x-2 is a factor of P(x) = x' +3x² -4x-12
(ii) Determine all the linear factors of P(x)
(iii)What are the zeros of y = P(x)
(iv)Sketch function y = P(x)
Transcribed Image Text:Practice Questions on Polynomials (6) Find (-x5 + 7x – x) + (x³ – x² + 1) Write the polynomial in the form of P(x) = d(x)q(x) + r(x) (7) Determine P(e) using the remainder theorem for P(x) = x² - 4x + 1, and the value of c is 2- J3 [Note if P(c) = 0, factor P(x) = (x-c)qx] (8) (i) Show that x-2 is a factor of P(x) = x' +3x² -4x-12 (ii) Determine all the linear factors of P(x) (iii)What are the zeros of y = P(x) (iv)Sketch function y = P(x)
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