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)
x=−5
x=−5/3
x=−7
x=7
x equals 7
The zero of g(x) is x=7.
To apply the Factor Theorem, we need to find the values of x that make g(x) equal to zero.
Since g(x) is factored as (x−7)(3x−5), we can set each factor equal to zero and solve for x.
For the first factor, (x−7), we have x−7 = 0.
Solving for x gives: x = 7.
For the second factor, (3x−5), we have 3x−5 = 0.
Solving for x gives: x = 5/3.
Therefore, the zeros of g(x) are x = 7 and x = 5/3.
Among the given options, x = 7 is a zero of g(x).