Does anyone know how to do this

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

Step-by-step explanation:

Factoring 12x2 + 17x + 6

The first term is, 12x2 its coefficient is 12 .

The middle term is, +17x its coefficient is 17 .

The last term, "the constant", is +6

Step-1 : Multiply the coefficient of the first term by the constant 12 • 6 = 72

Step-2 : Find two factors of 72 whose sum equals the coefficient of the middle term, which is 17 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 8 and 9

12x2 + 8x + 9x + 6

Step-4 : Add up the first 2 terms, pulling out like factors :

4x • (3x+2)

Add up the last 2 terms, pulling out common factors :

3 • (3x+2)

Step-5 : Add up the four terms of step 4 :

(4x+3) • (3x+2)

Which is the desired factorization

Final result :

(-3x - 2) • (4x + 3)

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step-by-step explanation: