multiply the following polynomials, please help??

Question

reemii · Answer

what will be the highest degree?

whpalmer4 · Answer

This is just the distributive property of multiplication:

$$p(q+r+s) = pq + pr + ps$$

whpalmer4 · Answer

$$4a(a^2+7a+4) = 4a*a^2 + 4a*7a + 4a*4 = 4a^3 + 28a^2 + 16a$$Looks like that's correct!

whpalmer4 · Answer

No matter how complicated the polynomials you are multiplying together, it's just a matter of applying the distributive property over and over, then adding up the pieces.  Every part of the first thing has to be multiplied with every part of the second thing.

anonymous · Answer

Aah, that helped me understand, thank you!

whpalmer4 · Answer

Glad to help — this is a very important concept to understand well!

whpalmer4 · Answer

Okay, the same thing:
$$(2y-3)(3y-2)$$We'll split the left half up with the distributive property:$$2y(3y-2) -3(3y-2)$$Now we'll do the same thing to each half:$$2y*3y-2*2y-3*3y-3*(-2)$$
Can you simplify that?

anonymous · Answer

B is the answer

anonymous · Answer

for the first post

anonymous · Answer

Yeah @drotzmann I got it, thanks

anonymous · Answer

good to hear

whpalmer4 · Answer

Let's work it out: $$2y∗3y−2∗2y−3∗3y−3∗(−2) = $$$$6y^2 -4y -9y -(-6) = 6y^2-13y+6$$

That wasn't quite what you got.  Do you see where you went wrong?

anonymous · Answer

Ohhh, Okay, i understand now, so it is D?

anonymous · Answer

((Sorry A)) Thanks so much!

whpalmer4 · Answer

I don't see the answer list any more, so I'll have to trust that you picked the right one! :-)