Factor:6b^2-b-12?

Question

explain answer

Answer 1

[09]
6b^2-b-12
=6b^2-9b+8b-12
=3b(2b-3)+4(2b-3)
=(2b-3)(3b+4)

Answer 2

(3b+4)(2b-3)=6b^2-b-12
first you have to make a diamond. X. in the top would be -72 because 6x-12=-72 then in the bottom it would be -1 because of the -b (the middle term). Next you have to think up the two numbers that are factors of -72 that add up to equal -1. In this case they are -9 and 8. -9x8 = -72 and -9=8=-1Then make the box and take out the greatest common multiples across and up and down.
2b -3
_________
3b l 6b^2 l -9b l
+4 l 8b l -12 l so the answer is (3b+4) (2b-3)

you could use the distributive property to check your answer.

Answer 3

6b^2-b-12 = ( 3 b + 4 ) (2 b - 3)
1. mult axc term which is 6x12=-72
2. determine what two numbers when mult gives you -72 and when you add them a -1.
3. answer is -9 and 8
4. sub back in the original equation
6b^2 + 8b - 9b - 12
5. group and factor
2b(3b+4) - 3(3b+4)
(2b-3)(3b+4)

Answer 4

6b^2-b-12 = ( 3 b + 4 ) (2 b - 3)

Answer 5

6b^2 - 1b - 12
=
(2b-3)(3b+4)

I don't really know how to explain it... but if you multiply out my factorization you get the right answer. It gets easier to factor the more you practice... you start to see the answers

Answer 6

OK. (2b-3) (3b+4)
check 6b^2 -9b +8b -12
yep that's 6b^2 -b -12

Answer 7

6b^2 - b - 12
(2b-3)(3b+4)

Answer 8

Simplifying
6b^2 + -1b + -12

Reorder the terms:
-12 + -1b + 6b^2

Factor a trinomial.
(-4 + -3b)(3 + -2b)

Final result:
(-4 + -3b)(3 + -2b)

Answer 9

6b^2 -- b -- 12
= 6b^2 -- 9b + 8b -- 12
= 3b(2b -- 3) + 4(2b -- 3)
= (2b -- 3)(3b + 4)

Answer 10

6b^2-b-12

3b+4 2b-3

3b* 2b=6b^2
4*2b=8b
-3*3b=-9b
4*-3=-12

6b^2-b-12