Question

If a(x)=2x-4 and b(x) =x+2, which of the following expressions produces a quadratic function?

Answer 1

`(ab)(x)`

Explanation:

The complete question in the attached figure

we have

`a(x)=2x-4\\b(x)=x+2`

we know that

(ab)(x) is equal to the product of a(x) and b(x)

so

`(ab)(x)=(2x-4)(x+2)`

Applying distributive property

`(ab)(x)=2x(x)+2x(2)-4(x)-4(2)`

`(ab)(x)=2x^2+4x-4x-8`

`(ab)(x)=2x^2-8`

This is a quadratic equation

The other expressions not produce a quadratic equation