Question

on dividing the polynomial 2 x cube + 4 x square + 5 x + 7 by a polynomial p of X question and reminder virtu X and 7 - 5 x respectively find g of x​

Answer 1

• by using the division algorithem

p(x)=g(x)*q(x)+r(x)

2x³+4x²+5x+7=g(x) x 2x +7-5x

2x³+4x²+5x+7-7+5x=g(x) x 2x

2x³+4x²+10x / 2x=g(x)

so we should divide 2x³+4x²+10x by 2x

by long division

so g(x)=x²+2x+5

Answer 2

Answer:

(2x³+4x²+5x+7) -(7-5x)=2x³+4x²+10x

(2x³+4x²+10x)/x=2x²+4x+10

g(x)=2x²+4x+10...

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