Question

Find the remainder when the Polynomial P(x)= 4x⁴- 3x³-2x²+x-7 is divided by x+ 1, using both long division method and remainder theorem.

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Answer 1

Answer:

let the root of polynomial x+1 is x= -1

4(-1)^4-3(-1)^3-2(-1)^2+(-1)-7

4+3-2-1-7

7-2-8

7-10

-3 remainder

by long division

x+1 ) 4x^4-3x^3-2x^2+x-7( 4x^3-7x^2+5x-4

4x^4+4x^3

-

-7x^3- 2x^2

-7x^3 -7x^2

-

5x^2+x

5x^2+5x

-

-4x-7

-4x-4

-

-3

Step-by-step explanation:

i hope You get your answer