Question

Simplify (x2 + 5x + 12)(x2 + 6x + 7).

Answer 1

Just combine the like terms :)

Answer 2

\[x2 + 5x + 12+x2 + 6x + 7\]

Answer 3

can you explain how to do it?

Answer 4

All you do is look for like terms do you know what like terms are?

Answer 5

x2 5x 12 x2 6x and7 ?

Answer 6

They are all terms

Answer 7

oh then nope

Answer 8

We want LIKE terms so
x^2 + x^2
6x+5x
7

Answer 9

now just add those :-)

Answer 10

What is x^2+x^2

Answer 11

x^4

Answer 12

No

Answer 13

x=1
what is 1+1

Answer 14

2

Answer 15

good so we have 2x^2 :)
what is 6+5 ?

Answer 16

11

Answer 17

Good so we now have a simplified statement!
2x^2+11x+7 :)

Answer 18

but that isnt a answer choice for me

Answer 19

:/

Answer 20

A.
x4 + 37x2 + 84

B.
x4 + 30x2 + 84

C.
x4+ 11x3 + 49x2 + 107x + 84

D.
x4 + 6x3 + 7x2 + 11x + 19

Answer 21

We were supposed to multiply

Answer 22

so
x^2 times x^2=?

Answer 23

We need to foil everything :)

Answer 24

4

Answer 25

x^4 good
x^2 times 6x = ?

Answer 26

12?

Answer 27

6x^3?

Answer 28

yes thats right

Answer 29

x^2 times 7 =?

Answer 30

7x^2

Answer 31

good :)
so far we have
x^4+6x^3+7x^2
do you see any answer choices that match up to this?

Answer 32

x2(x2+6x+7)+5x(x2+6x+7)+12(x2+6x+7) then multply

Answer 33

d.x4 + 6x3 + 7x2 + 11x + 19?

Answer 34

gives x4+6x3+7x2+5x3+30x2+35x+12x2+72x+84

Answer 35

but where do 11x and 19 come from?

Answer 36

by multiplying

Answer 37

you use the distributive law
first multiply all the terms in the second parentheses by x^2, then repeat using + 5x then finally by +12
Then combine like terms