Question

Evaluate f(x) · g(x) by modeling or by using the distributive property

f(x) = (-3x + 2) and g(x) = (2x2 – 5x - 1)

Answer 1

`f(x)\cdot g(x)=-6x^3+19x^2-17x-2`

Explanation:

Given : Functions
`f(x)=(-3x+2)` and
`g(x)=2x^2-5x-1`

To find : Evaluate
`f(x)\cdot g(x)` by modeling or by using the distributive property ?

Solution :

`f(x)=(-3x+2)` and
`g(x)=2x^2-5x-1`

Substitute in the expression,

`f(x)\cdot g(x)=(-3x+2)(2x^2-5x-1)`

Applying distributive property,
`a(b+c)=ab+ac`

`f(x)\cdot g(x)=(-3x)(2x^2-5x-1)+2(2x^2-5x-1)`

`f(x)\cdot g(x)=-6x^3+15x^2+3x+4x^2-20x-2`

`f(x)\cdot g(x)=-6x^3+19x^2-17x-2`

Therefore,
`f(x)\cdot g(x)=-6x^3+19x^2-17x-2`