Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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PAPER 1
5. FACTORS OF POLYNOMIALS
N2016
page 29
3 Do not use a calculator in this question.
The polynomial p(x) is ax³-4x²+bx+18. It is given that p(x) and p'(x) are both divisible
by 2x-3.
(i) Show that a = 4 and find the value of b.
(ii) Using the values of a and b from part (i), factorise p(x) completely.
(iii) Hence find the values of x for which p(x) = x+2.
3 CamScanner로 스캔하기
KS
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Transcribed Image Text:PAPER 1 5. FACTORS OF POLYNOMIALS N2016 page 29 3 Do not use a calculator in this question. The polynomial p(x) is ax³-4x²+bx+18. It is given that p(x) and p'(x) are both divisible by 2x-3. (i) Show that a = 4 and find the value of b. (ii) Using the values of a and b from part (i), factorise p(x) completely. (iii) Hence find the values of x for which p(x) = x+2. 3 CamScanner로 스캔하기 KS
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