Question

Divide: 6a²+5a-6 by 2a+3
in polynomial by polynomial
please explanation it​

Answer 1

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Answer 2

Step-by-step explanation:

Factoring 6a2 - 5a - 6

The first term is, 6a2 its coefficient is 6 .

The middle term is, -5a its coefficient is -5 .

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

Step-1 : Multiply the coefficient of the first term by the constant 6 • -6 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -5 .

-36 + 1 = -35

-18 + 2 = -16

-12 + 3 = -9

-9 + 4 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 4

6a2 - 9a + 4a - 6

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

3a • (2a-3)

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

2 • (2a-3)

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

(3a+2) • (2a-3)

Which is the desired factorization

Final result :

(2a - 3) • (3a + 2)

———————————————————

2a + 3

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