Select the correct answer. Which equation shows function g in factored form? g(x)=2x^2-6x-56 g(x)=2(x2-3x-28) g(x)=(2x+7)(x-8) g(x)=2(x-4)(x+7) g(x)=2(x+4)(x-7)

To find the correct equation that shows function g in factored form, we need to factorize the given equation .Step 1: Factor out the common factor of 2 from the equation: Step 2: Factorize the quadratic expression inside the parentheses:We need to find two numbers whose product is -28 and whose sum is -3. These numbers are -7 and 4.Step 3: Rewrite the quadratic expression using the factors found: Step 4: Substitute the factored form back into the equation: Therefore, the correct answer is: