Question

3x²+6x-18
How do you solve this?

Answer 1

Answer:

3

(

2

+

2

−

6

)

Step-by-step explanation:

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

((0 - 3x2) - 6x) - 18

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

-3x2 - 6x - 18 = -3 • (x2 + 2x + 6)

Trying to factor by splitting the middle term

3.2 Factoring x2 + 2x + 6

The first term is, x2 its coefficient is 1 .

The middle term is, +2x its coefficient is 2 .

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

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

Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is 2 .

-6 + -1 = -7

-3 + -2 = -5

-2 + -3 = -5

-1 + -6 = -7

1 + 6 = 7

2 + 3 = 5

3 + 2 = 5

6 + 1 = 7