Question

Factor.
2x2 + x – 6

A.
(2x – 3)(x – 2)

B.
(2x – 2)(x + 3)

C.
(2x + 3)(x – 2)

D.
(2x – 3)(x + 2)

Answer 1

2x^2

Answer 2

@jagr2713

Answer 3

Ok first we multiply 2 by -6 and get what?

Answer 4

-12

Answer 5

Good

Which two numbers add up to 1 and multiply to -12?

Answer 6

4 and ?

Answer 7

12

Answer 8

3

Answer 9

dont forget the -3 b.c i said -12 ok goo so its 4 and -3 so we rewrite 1 X x as the sum of 4x and -3x so we get \[2x ^{2}+4x-3x-6\]

Answer 10

okay

Answer 11

Ok what do we do next?

Answer 12

we have to see what answer choice is equal to that?

Answer 13

Nope we have to factor out common terms in the first two terms, then in the last two terms
\[2x(x+2)-3(x+2)\]

Answer 14

oh okay

Answer 15

So next we factor out the common term x+2 so we get ?

Answer 16

2x

Answer 17

nope so if we factor out a common term which is x+2 so we get

(2x-3) and ?

Answer 18

oh so you add the three to the equation!

Answer 19

@jagr2713

Answer 20

Yep so same for the other side but the 2x is already with the 3 so all we have left is?

Answer 21

is x and 2

Answer 22

So the answer is?

Answer 23

should it be (x+2) or (-)

Answer 24

its plus b.c the equation is plus 2x-3 is - b.c we have -3

Answer 25

so D?

Answer 26

Correct :D

Answer 27

Great job :D