Given the polynomial g(x) in its factored form as shown here: g(x)=(x−7)(3x−5), apply the Factor Theorem. Which of the following is a zero of g(x)?(1 point)

1 answer

To apply the Factor Theorem, we need to find a value of x that makes g(x) equal to zero.

Since g(x) is equal to zero when (x-7) equals zero or when (3x-5) equals zero, we want to solve the equations (x-7)=0 and (3x-5)=0.

For the equation (x-7)=0, adding 7 to both sides gives us x=7.

For the equation (3x-5)=0, adding 5 and then dividing by 3 gives us x=5/3.

Therefore, the zeros of g(x) are x=7 and x=5/3.

None of the answer choices are correct, so we need additional information to determine the correct answer.