Question

p(x)=2x³+4x²+x+2,g(x)=2x+1​

Answer 1

Answer:

Step-by-step explanation: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

g(x)=x²+2x+5

Answer 2

Answer:

11/2 or 5.5

Step-by-step explanation:

The zero of g(x)=1/2

p(1/2)=2(1/2)³+4(1/2)²+(1/2)+2

       =2(1/8)+4(1/4)+1/2+2

        =1/4+1+1/2+2

The LCM = 4

        =(1+4+2+4)/2

        =11/2 or 5.5