21-11-2021
Mathematics

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if f(x)=ax⁴+bx³-x²+2x+3 has a remainder when divided by (x-2)and has a remainder 2 when divided by x+1 find values of a and b

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21-11-2021

f(x)= ax^4+bx^3-x^2+2x+3

As per division concept

(3x+5)+(x^2-x-2)(g(x)= f(x)

g(x)=ax^2+bx--1

Coefficient of x in f(x) is +2

Coefficient of x in

3+1-2b=2

2b=2

b=1

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