Question

how do you simplify (x^2 + 4x – 3)(2x^2 + x + 6)?

Answer 1

u mean factorize?

Answer 2

the directions just say to simplify and put in standard form

Answer 3

id say FOIL, but that would be pointless eh

Answer 4

hint:

(x^2 + 4x – 3)(2x^2 + x + 6)

x^2(2x^2 + x + 6) + 4x(2x^2 + x + 6) -3(2x^2 + x + 6)

From here, distribute and simplify

Answer 5

well I'm working with multiplying polynomials if that's any help...

Answer 6

jims got a good setup going

Answer 7

is the first part 2x^4 + x^3 + 6x^2

Answer 8

you got it

Answer 9

what about the second piece?

Answer 10

8x^3 + 4x^2 + 24x? not too sure on that one

Answer 11

right again

Answer 12

now the last part

Answer 13

-6x^2 - 3x -9?

Answer 14

close

Answer 15

sorry if I'm taking to slow haha! & let me retry

Answer 16

-3 times -6 is not -9 though

Answer 17

you're doing just fine, no need to hurry

Answer 18

-12?

Answer 19

3 times 6 = ???

Answer 20

oh wait -18?

Answer 21

yes

Answer 22

does a negative times a negative equal a positive?

Answer 23

oh sry, i meant -3 times 6

Answer 24

not sure why I wrote -6, it's actually positive

Answer 25

Anyways, so we have these steps so far


(x^2 + 4x – 3)(2x^2 + x + 6)


x^2(2x^2 + x + 6) + 4x(2x^2 + x + 6) -3(2x^2 + x + 6)


2x^4+x^3+6x^2 + 8x^3+4x^2+24x -6x^2-3x-18

Answer 26

the last step is to combine like terms

Answer 27

6x^10 + 5x^5 +21x 18?

Answer 28

21x - 18*

Answer 29

no, you only add terms that have the same exponent

Answer 30

ex:

you can only add x^3 to 8x^3 to get

x^3 + 8x^3 = 1x^3 + 8x^3 = (1+8)x^3 = 9x^3

So

x^3 + 8x^3 = 9x^3

Answer 31

and adding these terms does NOT change the exponent

Answer 32

oh yeah! that completly slipped my mind! im so sorry

Answer 33

no worries

Answer 34

after you correct, tell me what you get

Answer 35

4x^2 +2x^4 + 9x^3 +24x + 3x -18?

Answer 36

how did you get 24x?

Answer 37

oh wait, i see now, it should be 24x - 3x

Combine that and tell me what you get