Question

Math Help- Factoring Picture provided

Answer 1

gOoD!

Answer 2

Solving 3x2+10x-32 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC
x = ————————
2A

In our case, A = 3
B = 10
C = -32

Accordingly, B2 - 4AC =
100 - (-384) =
484

Applying the quadratic formula :

-10 ± √ 484
x = ——————
6

Can √ 484 be simplified ?

Yes! The prime factorization of 484 is
2•2•11•11
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 484 = √ 2•2•11•11 =2•11•√ 1 =
± 22 • √ 1 =
± 22

So now we are looking at:
x = ( -10 ± 22) / 6

Two real solutions:

x =(-10+√484)/6=(-5+11)/3= 2.000

or:

x =(-10-√484)/6=(-5-11)/3= -5.333


Two solutions were found :

Answer 3

x = -16/3 = -5.333
x = 2

Answer 4

Tyyy <3

Answer 5

no problem <3