Question

David performed the following mathematical operation:x+52x-1)2x² +9x-5He was left with a remainder of zero. Which of the following statements mustbe true?OA. 5 must be a root of the polynomial 2x2 +9x-5-O B.172must be a root of the polynomial 2x² +9x-5-2OC. 0 must be a root of the polynomial 2x² +9x-5-O D.12/31must be a root of the polynomial 2x² +9x-5-

Answer 1

Okay, here we have this:

Considering the provided mathematical operation, we are going to identify wich is the correct statement, so we obtain the following:

Since the remainder is zero, it means that setting the divisor and quotient equal to zero gives us the roots, then we have:

2x-1=0

2x=1

x=1/2

x+5=0

x=-5

Finally we obtain that the roots are 1/2 and -5, then the correct answer is the option D.