question #16

Question

Determine whether the given number is a zero of the polynomial function following the number. 

1/2,H(x)=x^3+3x^2-4x+8

Select the correct choice below and fill in the answer box to complete your choice. 

(Type an integer or a simplified fraction.) 

_ Yes, 1/2 is a factor because the remainder is __. 

_ No, 1/2 is not a factor because the remainder is __. 

Answer 1

(x³+3x²-4x+8)/(x-1/2)=x²+(7/2)x-9/4 with a remainder of 55/8

 

so x-1/2 is not a factor