PAPER 1 5. FACTORS OF POLYNOMIALS page 5 J2006 1 The cubic polynomial f(x) is such that the coefficient of x³ is 1 and the roots of f(x) = 0 are -2, 1 + V3 and 1- - 13. (i) Express f(x) as a cubic polynomial in x with integer coefficients. (ii) Find the remainder when f(x) is divided by x- 3. (iii) Solve the equation f(-x) = 0.
PAPER 1 5. FACTORS OF POLYNOMIALS page 5 J2006 1 The cubic polynomial f(x) is such that the coefficient of x³ is 1 and the roots of f(x) = 0 are -2, 1 + V3 and 1- - 13. (i) Express f(x) as a cubic polynomial in x with integer coefficients. (ii) Find the remainder when f(x) is divided by x- 3. (iii) Solve the equation f(-x) = 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 3E
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Transcribed Image Text:PAPER 1
5. FACTORS OF POLYNOMIALS
page 5
J2006
1 The cubic polynomial f(x) is such that the coefficient of x³ is 1 and the roots of f(x) = 0 are
-2, 1+ V3 and 1 – V3.
(i) Express f(x) as a cubic polynomial in x with integer coefficients.
(ii) Find the remainder when f(x) is divided by x-3.
(iii) Solve the equation f(-x) = 0.
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