230k views
2 votes
I need help, I need the factorization of these

12x^2+5x-2

4x^2-4x+1

3x^2-3x-90

User Aldred
by
7.6k points

1 Answer

3 votes
There are many ways that you can factor this out. I'd recommend and personally use the grouping method - this way once you get the concept down, you got it and you don't need to guess and check all the time. Another plus is that factoring 4 terms are much easier.

Now, get your hard hats on. Time to factor.

1st: Multiply a and the c term. Now, factor out the number you got from multiplying a and c. The two factors must add up to equal what b is.

12x^2 + 5x - 2
Factor of 24 that when added equals to 5: 8 and -3 (8 + -3 = 5)

12x^2-3x+8x-2
Now, look at it like this:
12x^2-3x 8x-2
Then factor each separately:
3x(4x - 1) + 2(4x - 1)

Afterwards, form your answer.
(3x + 2) (4x - 1)

4x^2 - 4x + 1
Factors of 4 (4x1) that when added equal 4: -2 and -2 which equal - 4
4x^2 - 2x - 2x + 1
2x(2x - 1) - 1 (2x - 1)
Answer: (2x - 1)(2x - 1) or (2x - 1)^2

3x^2 - 3x - 90
Factors of 270 (3x90) that when added equal 3: -18 and 15 which equal - 3
3x^2 + 15x - 18x - 90
3x(x + 5) - 18(x + 5 )
Answer: (3x - 18) (x + 5)
User Pillsy
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories