Question

I am unsure how to multiply these two polynomials. Please help and provide an explanation. :)

Simplify.
(z^2 + 5z + 8)(z^2 + 2z + 6)

Answer 1

\[\color{red}{(z^2 + 5z + 8)(z^2 + 2z + 6)}\]

Answer 2

divide everything in the second parentheses by z^2, by + 5z and then by +6 and simplify. This is the Distributive Law.

Answer 3

I thought to do that, but then I was unsure. I will try it and tell you my answer.

Answer 4

ok

Answer 5

note i cant give you the answerr but i'll tell you if you are right.

Answer 6

I know. I want to find the answer myself, and have you check it for me. :)

Answer 7

yeah FOIL is taught as tho its some magic concoction, but its just distributing things out.

Answer 8

and this problem has nothing to do with division

Answer 9

(a+b+c) (x+y+z)

distribute

a(x+y+z) + b(x+y+z) + c(x+y+z)

distribute again

ax+ay+az + bx+by+bz + cx+cy+cz

Answer 10

The answer: \[\color{red}{z^4 + 7z^3 + 24z^2 +46z + 48}\]

Answer 11

Thanks for the help! @amistre64 @welshfella

Answer 12

good luck :)

Answer 13

yw