Question

factorise by splitting the middle term
2x²-23x-12​

Answer 1

Answer:

(2x+1)(x-12)

Step-by-step explanation:

hope this will help you

Answer 2

Answer:

(x−12)⋅(2x+1)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(2x2 - 23x) - 12

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 2x2-23x-12

The first term is, 2x2 its coefficient is 2 .

The middle term is, -23x its coefficient is -23 .

The last term, "the constant", is -12

Step-1 : Multiply the coefficient of the first term by the constant 2 • -12 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -23 .

-24 + 1 = -23 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -24 and 1

2x2 - 24x + 1x - 12

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

2x • (x-12)

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

1 • (x-12)

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

(2x+1) • (x-12)

Which is the desired