Solve Q6, 7 & 8 showing clearly all steps involved 6. Given that (x - 1) and (x+2) are factors of f(x) where f(x) = 2x - ax+ bx + 6, find the values of theconstants a and b.7/ When the polynomial p(x) = ax'+ 5x² + 2x + 6 is divided by (x-1), the remainder is -3 given that(x-2) is a factor of p(x), find the values of the constant a and b.8. Factorise f(x) completely, where f(x) = x° + 6x² + 11x + 6Factorise f(x) completely, where f(x) = -3x+ 5x + 4x-4.10. Given that x+ 3x + 2 is a factor of f(x) where f(x) = x+4x + ax + b, find the values of a and32b.11. Show that (2x + 3) is a factor of f(x) = 2x+5x – x – 6. Hence factorise f(x) completely.12. G(x), where G(x) = (x+1)(x+3) Q(x) + px +q, is a polynomialof degree 3.) Given that G(x) leaves remainder 8 and -24 when divided by x+ 1 and x+3 respectively, find theremainder when G(x) is divided by (x+1)(x+3)b) Given that (x+2) is a factor of G(x) and that the graph of G(x) passes through the point withcoordinates (0, 6), find Q(x)(13 (i) When the polynomial P(x) where P(x) = x'+ rx + sx +t is divided by x - 4, the remainder is 18- X. When divided by x + 3, the remainder is 21. Find the values of the constant r, s and t, and findthe remainder when P(x) is divided by x + 1.(1 Find the range of vaiues ofk for which the equation: kx+ (k -3)x+ 1 = 0 has real distinct rootsX-%3D--%3D

Answered: Image /qna-images/answer/9bc67213-4d69-4c70-b64a-2018c23f5c53.jpg

D. Given that (x-1) and (x+2) are factors of f(x) where f(x) 2x- ax+bx + 6, find the values of the constants a and b. 7/ When the polynomial p(x) = ax'+ 5x2 + 2x + 6 is divided by (x-1), the remainder is -3 given that (x-2) is a factor of p(x), find the values of the constant a and b. S Factorise f(x) completely, where f(x) = x+ 6x² + 11x +6

D. Given that (x-1) and (x+2) are factors of f(x) where f(x) 2x- ax+bx + 6, find the values of the constants a and b. 7/ When the polynomial p(x) = ax'+ 5x2 + 2x + 6 is divided by (x-1), the remainder is -3 given that (x-2) is a factor of p(x), find the values of the constant a and b. S Factorise f(x) completely, where f(x) = x+ 6x² + 11x +6

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra

Problem 3E: A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is...

See similar textbooks