Question

1. Find p(-3) if p(x) = 4x3 - 5x2 + 7x - 10

2. Write the expression 13m^8 - 3m^4 + 4 in quadratic form.

Answer 1

1) -184

2) 13
`(m^(4)) ^(2)`-3(
`m^(4)`)+4

Explanation:

For problem number 1, Let's start by substituting all the x's for -3

So the equation will look like

p(-3)=
`4(-3)^(3)`-
`5(-3)^(2)`+7(-3)-10

Now, lets simplify by solving the exponents

First we'll do
`-3^(3)` which equals -27

Now we'll do
`-3^(2)` which equals 9

So now our equation looks like

p(-3)=4(-27)-5(9)+7(-3)-10

Now, we are going to multiply all these numbers

First 4(-27) which equals -108

Now -5(9) which equals -45

And finally 7(-3) which equals -21

Now our equation looks like

p(-3)= -108-45-21-10

Now we can solve

-108-45-21-10=-184