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F2016 The polynomial f(x)= ar +7x²-9x+b is divisible by 2x-1. The remainder when f(x) is divided by x-2 is 5 times the remainder when f(x) is divided by x + 1. (i) Show that a = 6 and find the value of b. ) Using the values from part (i), show that f(x) = (2x - 1)(cx² + dx + e), where c, d and e are integers to be found. Hence factorise f(x) completely. CamScanner로 스캔하기 KS VENT

F2016 The polynomial f(x)= ar +7x²-9x+b is divisible by 2x-1. The remainder when f(x) is divided by x-2 is 5 times the remainder when f(x) is divided by x + 1. (i) Show that a = 6 and find the value of b. ) Using the values from part (i), show that f(x) = (2x - 1)(cx² + dx + e), where c, d and e are integers to be found. Hence factorise f(x) completely. CamScanner로 스캔하기 KS VENT

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 8E
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PAPER 1 5. FACTORS OF POLYNOMIALS page 27 F2016 1 The polynomial f(x)= ar +7x²-9x+b is divisible by 2r-1. The remainder when f(x) is divided by x-2 is 5 times the remainder when f(x) is divided by x + 1. (i) Show that a = 6 and find the value of b. (ii) Using the values from part (i), show that f(x) = (2x − 1)(cx² + dx + e), where c, d and e are integers to be found. (iii) Hence factorise f(x) completely. ICS CamScanner로 스캔하기 KS VENT
Transcribed Image Text:PAPER 1 5. FACTORS OF POLYNOMIALS page 27 F2016 1 The polynomial f(x)= ar +7x²-9x+b is divisible by 2r-1. The remainder when f(x) is divided by x-2 is 5 times the remainder when f(x) is divided by x + 1. (i) Show that a = 6 and find the value of b. (ii) Using the values from part (i), show that f(x) = (2x − 1)(cx² + dx + e), where c, d and e are integers to be found. (iii) Hence factorise f(x) completely. ICS CamScanner로 스캔하기 KS VENT
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