Question

2a^2 + 5a+2 what is the answer​

Answer 1

Step-by-step explanation:

Step 1 :

Equation at the end of step 1 :

(2a2 - 5a) + 2

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 2a2-5a+2

The first term is, 2a2 its coefficient is 2 .

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

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

Step-1 : Multiply the coefficient of the first term by the constant 2 • 2 = 4

Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is -5 .

-4 + -1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and -1

2a2 - 4a - 1a - 2

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

2a • (a-2)

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

1 • (a-2)

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

(2a-1) • (a-2)

Which is the desired factorization

Final result :

(a - 2) • (2a - 1)