Show instructions Question 7(1 point) What is the factored form of f(x)=5x^2-5x-60 f(x)=5(x+2)(x-6) b f(x)=5(x-4)(x+3) f(x)=5(x-2)(x+6) f(x)=5(x+4)(x-3) d

Question

Answer 1

To find the factored form of the quadratic function

, we need to factor the quadratic expression.The factored form of a quadratic expression is given by

, where

and

are the roots of the quadratic equation.To find the roots, we can use the quadratic formula:

In this case, the quadratic equation is

.Comparing this with the standard form of a quadratic equation

, we have:

,

, and

.Substituting these values into the quadratic formula, we get:

Therefore, the roots are

and

.So, the factored form of the quadratic function is:

Therefore, the correct answer is option b:

.

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