Question

What form is the quadratic equation f(x) = 2(x-4)(x+5)?

A) General Form
B) Factored Form
C) Vertex Form
D) Math Form

Answer 1

The quadratic equation f(x) = 2(x-4)(x+5) is in Factored Form, which is useful for easily finding the roots of the equation.

Step-by-step explanation:

The quadratic equation f(x) = 2(x-4)(x+5) is presented in Factored Form. In mathematics, quadratic equations can be shown in various forms, including general form (ax²+bx+c = 0), factored form ((x-p)(x-q)=0 where p and q are the roots), and vertex form (a(x-h)²+k where (h,k) is the vertex).

The factored form makes it easy to find the roots of the quadratic equation by setting each factor to zero and solving for x. For example, setting (x-4) to zero gives x=4, and setting (x+5) to zero gives x=-5, which are the solutions to this quadratic equation.