Question

PLEASE PLEASE PLEASE ANSWER ASAPPP !!! (20points)

Answer 1

Answer:
`-2x^2 + 10x-8`

Explanation:

To find the product of the binomials, we first need to find the linear equations for the lines.

Using the rise over run method for f(x), we can see that the line rises 2 units for every 1 unit ran. 2/1 = 2, so we know the slope is 2, and we can see that the y-intercept on the graph is -2.

Equation:
`f(x) = 2x-2`

Using the rise over run method for g(x), we can see that the line rises -1 unit for every 1 unit ran. -1/1 = -1, so we know the slope is -1, and we can see that the y-intercept on the graph is 4.

Equation:
`g(x) = -x+4`

Multiplying the binomials:

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

Use the FOIL method:

First: 2x * -x

Outside: 2x * 4

Inside: -2 * -x

Last: -2 * + 4

`-2x^2+8x+2x-8\\\\-2x^2 + 10x-8`