Question

Question is attached

Answer 1

How to factor?

Answer 2

use the general formula

Answer 3

When in the form:\[
ax^2 + bx + c
\]
You can find the roots with:\[
\frac{-b\pm \sqrt{b^2 -4ac}}{2a}
\]
Then it can be factored as: \[
(x-r_1)(x-r_2)
\]where \(r_1, r_1\) are roots.

Answer 4

There are many other ways to factor though, like splitting the middle.

Answer 5

ur looking for two numbers that multiply to 8 and add up to 10. keep in mind the leading coefficient is 3
first, list all the factors of 3:
3*1
3*1

next find the factors of 8:
4*2
2*4
8*1
1*8
next test each pair.

turns out that only (3*2)+(1*4) = 10
so plug them in:

(3x+4)(x+2) = 0

Answer 6

Hmm...I think I understand now. Thanks!