Question

David performed the following mathematical operation:

3x+4
x-1)3x +x-4
He was left with a remainder of zero. Which of the following statements must
be true?

Answer 1

B. 1 must be a root of the polynomial 3x^2+x-4

Explanation:

Given polynomial

3x^2+x-4

Divided by factor x-1

Gives a remainder of 0

Remainder 0 represents that divisor (x-1) is a factor polynomial 3x^2+x-4

If x-1 is a factor of the polynomial, we can equate x-1 to 0

x-1=0

Solve for x to get one of the roots

x-1=0

Add 1 to both sides

x-1+1=0+1

x=1

B. 1 must be a root of the polynomial 3x^2+x-4