Question

On dividing 2x^3+4x^2+5x+7 by g(x), the q(x)=2x and r(x)=7-5x respectively. Find g(x)​

Answer 1

Answer:

Step-by-step explanation:

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