Question

Help for medal!


Simplify

(x2 + 7x + 12)(x2 + 3x + 5).

x4 + 26x2 + 60
x4 + 21x2 + 60
x4+ 3x3 + 5x2 + 10x + 17
x4 + 10x3 + 38x2 + 71x + 60

Answer 1

Multiply all the terms in the first parenthesis to all the terms in the 2nd parenthesis.

x^2 * x^2 = ?
x^2 * 3x = ?
x^2 * 5 = ?
7x * x^2 = ?
7x * 3x = ?
7x * 5 = ?
12 * x^2 = ?
12 * 3x = ?
12 * 5 = ?

Answer 2

45x^2+105x+60

Answer 3

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Answer 4

x^2 * x^2 = x^4
x^2 x 3x = 3x ^3
x^2 * 5 = 5x^2
7x * x^2 = 7x^3
7x * 3x = I think 21x but i'm not sure.
7x * 5 = is it 35x?
12 * x^2 = 12x^2
12 * 3x = 36x
12 * 5 = 60

Answer 5

Nice work, just one thing.

7x * 3x doesn't equal 21x

Remember there are two 'x's, so we have:

21x^2

Answer 6

So the whole thing is:

x^4 + 3x^3 + 5x^2 + 7x^3 + 21x^2 + 35x + 12x^2 + 36x + 60

Combine the like terms

Answer 7

Can you do that? @AMYCARTER

Answer 8

Like terms have the same variables and exponents.

Here are the like terms:

3x^3 + 7x^3
5x^2 + 21x^2 + 12x^2
35x + 36x

Answer 9

Sorry when the question shows me not viewing it I'm still here I don't know why it does that.
I'll combine them real quick...

Answer 10

Yeah, one of OS's 23985093285702938572309857 glitches.

Answer 11

3x^3 + 7x^3 = 10x^3
5x^2 + 21x^2 +12x^2 = 38x^2
35x + 36x = 71x^2 I think

Answer 12

haha @iGreen

Answer 13

Nice work, but don't change the variables.

35x + 36x = 71x

So our final answer is:

x^4 + 10x^3 + 38x^2 + 71x + 60

Answer 14

Okay I'll remember next time. Thank you for your help @iGreen I understand this type of problem better now! :)

Answer 15

No problem.