Question

Let f(x) = x2 – 2x + 2 and g(x) = x – 3. Find f(x) • g(x).

Answer 1

answer choices:
x3 – 6x2 + 12x – 6

x3 – 5x2 + 8x – 6

x3 – 3x2 + 6x – 6

x3 – 2x2 + 5x – 6

Answer 2

No :(

Answer 3

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

Answer 4

Is that right??

Answer 5

no you would multiply the whole trinomial just by the x...dont multiply that x by x

so

x times x2?
x times -2x?
x times 2?

Answer 6

Oh okay lol i see what i did wrong, i'm dumbb


go on..

Answer 7

after you do that do the same thing with -3

Answer 8

lol no go ahead @Mertsj haha you were the original cook....i just wanted to clarify the mistake up there before :)

Answer 9

Sorry guys, you both lost me :( im confused

Answer 10

okay...so when you multiply anytype of trinomial, binomial, quadnomial so be it

you take the first term (in this case "x")
and you multiply it by EVERY term in the other parenthesis

so you have

f(x) = (x2 – 2x + 2) and g(x) = (x – 3)

write it like this

(x-3)(x² - 2x + 2)

now take your first term in the first parenthesis...."x"....and multiply it by EVERY term in the second parenthesis...so

what is x times x²?
what is x times -2x?
what is x times 2?

Answer 11

x^3
-2x^2
2x

Answer 12

or would the 2nd one be -1x?

Answer 13

no you have it right :) x times -2x would indeed be -2x²

Answer 14

so you have that part.....now...what you JUST did with "x"....do it with -3***the second term in your first parenthesis****

so multiply that by every term in the second parenthesis

what is -3 times x²?
what is -3 times -2x?
what is -3 times 2?

Answer 15

-3x^2
-6x
-6

Answer 16

close...what is -3 times -2x? **negative times negative***

Answer 17

Oh a positive, 6x

Answer 18

there you go :)

so altogether....you have

x^3 -2x^2 +2x ****what you got from doing the x****
and
-3x^2 -6x -6 ****what you got from doing the -3***

so you have

x^3 -2x^2 +2x -3x^2 -6x -6

combine all your like terms...and what do you get?

Answer 19

Answer A
x3 – 6x2 + 12x – 6

Answer 20

like terms "any numbers that have the same variable and exponent"
a.k.a.. you can ONLY combine x^3 with another number with x^3
you can only combine x^2 with another number with x^2....and so on and so forth.....so try that 1 more time
-2x² - 3x²?
2x - 6x?

Answer 21

and sorry typo up there...should be +6x

Answer 22

x^3 -2x^2 +2x -3x^2 +6x - 6 is what it should be

Answer 23

so
x^3 has no other ^3 numbers to combine with right? so it stays the same

Answer 24

-2x² has another x² number to combine with right?

-2x² - 3x² is?

Answer 25

2x has another x number to combine with too right?

2x + 6x is?

Answer 26

and finally, that -6...has no other numbers to combine with right? so that stays the same too

Answer 27

thank you i see what you did :)

Answer 28

thank you i see what you did :)

Answer 29

:) so your answer would be?