Question

Quadratic linear and constant term of f(x)=(3x-6)(-4x+2)

Answer 1

Answer:

It is quadratic.

The constant term is:-12

Step-by-step explanation:

1. You can apply the Distributive Property of multiplication, as following:

$f(x)=(3x-6)(-4x+2)\\f(x)=(3x)(-4x)+(3x)(2)+(-6)(-4x)+(-6)(2)\\f(x)=-12x^{2}+6x+24x-12\\f(x)=12x^{2}+30x-12$

2. The function has the form:

$f(x)=ax^{2}+bx+c$

Therefore, it is a quadratic function, where $c$ is the constant term.

3. Therefore, the constant term is -12