PAPER 1 12015 2 The polynomial f(x)-ax-15x²+bx-2 has a factor of 2x-1 and a remainder of 5 when divided by x-1. (1) Show that b-8 and find the value of a. (ii) Using the values of a and b from part (1), express f(x) in the form (2x-1) g(x), where g(x) is a quadratic factor to be found. ) Show that the equation f(x) = 0 has only one real root. VENT

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 2CC: (a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c...
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page 26
PAPER 1
5. FACTORS OF POLYNOMIALS
12015
and a remainder of 5 when
2 The polynomial f(x)= ar-15x²+bx-2 has a factor of 2x-1
divided by
(i) Show that b-8 and find the value of a.
(ii) Using the values of a and b from part (1), express f(x) in the form (2x-1) g(x), where g(x) is a
quadratic factor to be found.
(iii) Show that the equation f(x) = 0 has only one real root.
KS VENT
Transcribed Image Text:page 26 PAPER 1 5. FACTORS OF POLYNOMIALS 12015 and a remainder of 5 when 2 The polynomial f(x)= ar-15x²+bx-2 has a factor of 2x-1 divided by (i) Show that b-8 and find the value of a. (ii) Using the values of a and b from part (1), express f(x) in the form (2x-1) g(x), where g(x) is a quadratic factor to be found. (iii) Show that the equation f(x) = 0 has only one real root. KS VENT
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