Question

Hi can someone help me with factoring for fan and medAL!

Answer 1

Yeah, what do you need to factor?

Answer 2

Ok.. one sec let me post the question

Answer 3

the even number questions

Answer 4

Alright, let's start with four. Do you know in what form your answer should be in? (Hint: think multiplying and binomials)

Answer 5

x^2 +bx +c

Answer 6

Sorry, that was not explained very well. What I meant is, do you agree it should basically be written as (x + #)(x + #)

Answer 7

yea

Answer 8

Ok, so let's factor by grouping, because I find it easier. Have you learned that yet?

Answer 9

yea

Answer 10

If you haven't I'll just show you. x^2 - 7x + 10

So in your equation above, you wrote ax^2 +- bx +- c, so when you factor by grouping, you multiply a * c, and find factors of that which when added equal b.

So in this equation, a = 1 and c = 10, so you have to try to find factors of 10 that add up to -7. Any ideas of the two numbers?

Answer 11

To make this easier, I will list factors of 10.
1 * 10
-1 * -10
2 * 5
-2 * -5


Any of these add up to -7?

Answer 12

Since it is pretty obvious, I will continue. -2 and -5 multiplied is 10, and added is -7. So let's group.

x^2 - 7x + 10
x^2 - 2x - 5x +10

I just used the two factors we found. Notice these equations are equivalent.
Now group.

(x^2 - 2x) + (- 5x +10) ***** DO NOT FORGET TO ADD A PLUS SIGN IN THE MIDDLE
Take out common factors
(x)(x - 2) + (-5)(x -2)

Now, the last two terms of each thing must be the same in order to do this.
(x -5)(x - 2).

Hope this helped!!!

Answer 13

thank you so much! i understand how to do them all now

Answer 14

but what about for expressions like b^2-81?

Answer 15

oh wait nvm i got it