Question

Factorize: 18x2 – 9x – 2 by splitting the middle term or any other way of factorization

Answer 1

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18x² - 9x - 2

= Common - 9

Answer 2

ANSWER::::----

(3x - 2) • (6x + 1)

STEP BY STEP EXPLAINATION____________

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

STEP

1

:

Equation at the end of step 1

((2•32x2) - 9x) - 2

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 18x2-9x-2

The first term is, 18x2 its coefficient is 18 .

The middle term is, -9x its coefficient is -9 .

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

Step-1 : Multiply the coefficient of the first term by the constant 18 • -2 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -9 .

-36 + 1 = -35

-18 + 2 = -16

-12 + 3 = -9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 3

18x2 - 12x + 3x - 2

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

6x • (3x-2)

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

1 • (3x-2)

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

(6x+1) • (3x-2)

Which is the desired factorization

Final result :

(3x - 2) • (6x + 1)

HENCE FACTORIZED!