Question

6a²-7a-2 multiplied by 3a-2

Answer 1

Step-by-step explanation:

this is the answer is correct in a proper manner

Answer 2

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(((2•3a2) - 7a) + 6a) - 2

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 6a2-a-2

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

The middle term is, -a its coefficient is -1 .

The last term, "the constant", is -2

Step-1 : Multiply the coefficient of the first term by the constant 6 • -2 = -12

Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -1 .

-12 + 1 = -11

-6 + 2 = -4

-4 + 3 = -1 That's it

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

6a2 - 4a + 3a - 2

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

2a • (3a-2)

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

1 • (3a-2)

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

(2a+1) • (3a-2)

Which is the desired factorization

Final result :

(3a - 2) • (2a + 1)