What is the factor of 6x2-9x-6?

Answer 1

9 = 1 x 9 or 3 x 3, 6 = 1 x 6 or 2 x 3.

There is no combination which adds to 6 so use the quadratic formula:

(6 +/- sqrt (36 + 216))/18

x = (6 +/- 15.87)/18

x = 1.215 or - 0.55

Answer 2

6x**2-9x-6

Multiply first and third coefficients

6*-6=-36

Find factors of result:

-36=

-36*1

36*-1

18*-2

-18*2

9*-4

-9*4

3*-12

-3*12

Choose Factors whose sum is equal to second coefficient and rewrite equation

6x**2-3x-12x-6

Factor First and second terms, then third and fourth

6x**2-3x --> 3x(2x-1)

-12x-6 --> -6(2x-1)

Factor out bracketed term

(2x-1)(3x-6)

Answer 3

3x2 + 9x

3x(x + 3)

-------------

Answer 4

(x + 3)(x + 3) or (x + 3)2

Answer 5

3(x + 1)(2x + 1)