Question

Find the product of (–d + e)(4e + d). Which statements are true? Check all that apply.

There are 2 terms in the product.
There are 3 terms in the product.
There are 4 terms in the product.
The product is degree 1.
The product is degree 2.
The product is degree 4.

Answer 1

Hello!

This is a question about multiplying to get a polynomial answer.

Here we can use two strategies, which will get you the same strategy.

One is using a Punnett Square, and the other would be FOILing.

I personally like Punnett Squares, but I will use FOILing for the sake of being online.

FOIL stands for First, Outside, Inside, Last, which describes how the terms should be multiplied.

Let's multiply the first terms.

(-d + e)(4e + d)

`-4de`

The outside terms.

(-d + e)(4e + d)

`-d^2`

The inside terms.

(-d + e)(4e + d)

`4e^2`

The last terms.

(-d + e)(4e + d)

`de`

Now you just add them together to find the polynomial.

`-d^2+4e^2-4de+de`

`-d^2+4e^2-3de`

There are three terms in the product, and the product is degree 2, since the highest degree of the equation (the highest power any term is raised to) is 2.

Hope this helps!

Answer 2

B and E are the answers to find the product of (-d+e)(4e+d).