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Answer must be typewritten with a computer keyboard! Answer Q9a below A polynomial function f(x) = ax3 - bx2 -2x + 3 is exactly divisible by 2x2 - x - 3. Find the values of a and b. Hence find the remainder when f(x) divides (x+2)

Answer must be typewritten with a computer keyboard! Answer Q9a below A polynomial function f(x) = ax3 - bx2 -2x + 3 is exactly divisible by 2x2 - x - 3. Find the values of a and b. Hence find the remainder when f(x) divides (x+2)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.6: Partial Fractions
Problem 60E
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Answer must be typewritten with a computer keyboard!

Answer Q9a below

A polynomial function f(x) = ax3 - bx2 -2x + 3 is exactly divisible by

2x2 - x - 3. Find the values of a and b. Hence find the remainder when f(x) divides (x+2)

8. 2x-3 Resolve 2x-3 dr. X +x (a) into partial fractions. Hence evaluate [ +x fb)--Find-therange ofvalures of for whichr=3<2x+3) (c Given that the roots of the quadratic equation x' + px-q =0 differ by 3, show that p² +4q-q = 0. 9. (a) Á põlynarsta(=). u bir 2x+3 is exaglly divisible by 2x² – x-3: Fihd the Values of a and 2. hence find the remaindenwhen-f (x)-divides-(x+2) (b) Given that (1+ cos 2x)e-2(1+e')sin 2x = 0 and that y=0 when x =- 4 Show that y = 2 In (tan x). C) Use the trapezium rule with 3 ordinates to find an approximate value of dr. 3+ Vx
Transcribed Image Text:8. 2x-3 Resolve 2x-3 dr. X +x (a) into partial fractions. Hence evaluate [ +x fb)--Find-therange ofvalures of for whichr=3<2x+3) (c Given that the roots of the quadratic equation x' + px-q =0 differ by 3, show that p² +4q-q = 0. 9. (a) Á põlynarsta(=). u bir 2x+3 is exaglly divisible by 2x² – x-3: Fihd the Values of a and 2. hence find the remaindenwhen-f (x)-divides-(x+2) (b) Given that (1+ cos 2x)e-2(1+e')sin 2x = 0 and that y=0 when x =- 4 Show that y = 2 In (tan x). C) Use the trapezium rule with 3 ordinates to find an approximate value of dr. 3+ Vx
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