Question

Divide: 3x (5x² + 3x³+2) – (2x² + 8 - x) by (-2+3x).

Answer 1

If we divide f(x)=3x

3

+x

2

+2x+5 by g(x) we get q(x)=(3x−5) as quotient and r(x)=(9x+10) as remainder.

By using division algorithm,

f(x)=g(x)q(x)+r(x)

⟹3x 3+x 2 +2x+5=g(x)(3x−5)+(9x+10)

⟹g(x)=

(3x−5)3x 3 +x 2 +2x+5−9x−10

⟹g(x)=

(3x−5)3x 3 +x 2−7x−5

Hence, g(x)=x 2+2x+1

Answer 2

Answer:

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may this is helpful to u