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Factor 9x^2-6x+4

How to factor 9x^2+6x-8?

Factorize 9x^2+6x-8

Factor the polynomial:

9x2 + 6x - 8

How to resolve the problem?

1. The first term coefficient is 9 and the third term coefficient is -8.

Find the product:

9 * (-8) = -72

2. Find two factors of the -72 that add to 6, it is the second term coefficient.

These factors are 12 and -6:

12 * (-6) = -72
12 - 6 = 6
6x = 12x - 6x

3. Replace 6x with 12x - 6x:

9x2 + 12x - 6x - 8

4. Group the positive and negative terms so:

(9x2 - 6x) + (12x - 8)

5. Factor out the common factors: 3x and 4:

3x(3x - 2) + 4(3x - 2)

6. Factor out the common factor 3x - 2:

(3x + 4)(3x - 2)

7. And the final answer:

(3x + 4)(3x - 2)