Question

3x^+7x-6 factor completely

Answer 1

The factor for given equation
`3x^2+7x-6` is (3x-2) and (x+3).

Explanation:

To find the factors of the equation,

1) Multiply the coefficient of the
`x^2` and the constant value.

⇒3×(-6)= -18.

2) Now find two numbers that can result is in -18 while multiplying and 7 (middle term or coefficient of x) while adding.

⇒9 × (-2) = -18.

9+(-2)= 7.

Now spit the equation as
`3x^2+9x-2x-6`.

=
`(3x^2+9x)-(2x-6)`.

=3x(x+3) - 2(x+3).

=(x+3)(3x-2). (by taking out the common term x+3)

∴ The factor for given equation
`3x^2+7x-6` is (3x-2) and (x+3).