3 (i) Given that 3x³ +5x2 + px+8 = (x-2)(ax² + bx + c), find the value of each of the integers a, b, c and p. (ii) Using the values found in part (i), factorise completely 3x³ +5x² + px +8.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 19E
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PAPER 1
N2012
3
page 21
(i) Given that 3x³ +5x² + px + 8 = (x-2)(ax² + bx + c), find the value of each of the integers
a, b, c and p.
(ii) Using the values found in part (i), factorise completely 3x³ +5x² + px + 8.
Transcribed Image Text:PAPER 1 N2012 3 page 21 (i) Given that 3x³ +5x² + px + 8 = (x-2)(ax² + bx + c), find the value of each of the integers a, b, c and p. (ii) Using the values found in part (i), factorise completely 3x³ +5x² + px + 8.
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