yx--xandverifythedivision algorithm7 by geo the quotient and remainder

1.	yx--xandverifythedivision algorithm7 by geo the quotient and remainder are 2x and 7-5x respectively Find gt)5x +7 by g(x) the quotient and remainder are 2x and 7-5x respectively. Find gx)State the condit:
Answer» 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

yx--xandverifythedivision algorithm7 by geo the quotient and remainder are 2x and 7-5x respectively Find gt)5x +7 by g(x) the quotient and remainder are 2x and 7-5x respectively. Find gx)State the condit:

Answer»

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