Question

-p(8p^+3p)

Answer 1

Do you know what power "8p" is being raised to?

Answer 2

@Tatiicole

Answer 3

It's squared

Answer 4

Okay.
So we have an equation of: -p(8p^2 + 3p). Do you know what number "p" in "-p" represents?

Answer 5

No

Answer 6

In any "unassigned" variable, there is always a "known" 1. Therefore we know that -p is also known as -1. Does this make sense?

Answer 7

Yes so the 1 is in front

Answer 8

You got it.
We also know that it is being raised to another "known" power, which is 1. So if we look at the equation with the "known" things put into it, it would look like this:

\[-1^1(8p^2 + 3p)\]

Answer 9

Now, the first step in solving this polynomial is to distribute the "-p" to both terms.

Answer 10

Do you know what -1 * 8 is?

Answer 11

@Tatiicole

Answer 12

-8

Answer 13

Good.
Now, when distributing the terms in a polynomial, you add the known exponents.
So, this gives us:
-p(8p^2 + 3p
-8p^3.
The first half of the equation is finished. What you think is the first step in solving the second half?

Answer 14

@Tatiicole