1 The polynomial p(x) = ax + bx²-3x -4 has a factor of 2x-1 and leaves a remainder of -10 when divided by x + 2. (i) Show that a = 10 and find the value of b. (ii) Given that p(x) = (2x - 1)(x² + sx+t), find the value of each of the integers r, s anc (iii) Hence find the exact solutions of p(x) = 0. VE
1 The polynomial p(x) = ax + bx²-3x -4 has a factor of 2x-1 and leaves a remainder of -10 when divided by x + 2. (i) Show that a = 10 and find the value of b. (ii) Given that p(x) = (2x - 1)(x² + sx+t), find the value of each of the integers r, s anc (iii) Hence find the exact solutions of p(x) = 0. VE
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 5DE
Related questions
Question
![PAPER 1
5. FACTORS OF POLYNOMIALS
page 25
F2015
1
The polynomial p(x) = ax³ + bx²-3x-4 has a factor of 2x-1 and leaves a remainder
of 10 when divided by x + 2.
(i) Show that a = 10 and find the value of b.
(ii) Given that p(x) = (2x - 1)(x² +sx+t), find the value of each of the integers r, s and t.
(iii) Hence find the exact solutions of p(x) = 0.
2 AEL
KS VEN](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4c2ba2d-89d9-4ecf-959b-3e3aa7eca382%2Fd1897fc4-7021-4200-ace8-70719bb8f3db%2Fnu90oj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PAPER 1
5. FACTORS OF POLYNOMIALS
page 25
F2015
1
The polynomial p(x) = ax³ + bx²-3x-4 has a factor of 2x-1 and leaves a remainder
of 10 when divided by x + 2.
(i) Show that a = 10 and find the value of b.
(ii) Given that p(x) = (2x - 1)(x² +sx+t), find the value of each of the integers r, s and t.
(iii) Hence find the exact solutions of p(x) = 0.
2 AEL
KS VEN
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