What is factor (x-6)+(2x^2) ?

The solution to factor (x-6)+(2x^2) is (2x-3)(x+2)

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factor (x-6)+(2x^2)

factor

(x - 6) + (2 x^{2})

(2 x - 3) (x + 2)

Solution steps

(x - 6) + (2 x^{2})

Remove parentheses:

(a) = a

= x - 6 + 2 x^{2}

Write in the standard form

a x^{2} + b x + c

= 2 x^{2} + x - 6

Break the expression into groups

= (2 x^{2} - 3 x) + (4 x - 6)

Factor out

x

from

2 x^{2} - 3 x : x (2 x - 3)

Factor out

2

from

4 x - 6 : 2 (2 x - 3)

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

Factor out common term

2 x - 3

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

(3 x - 2)^{2} - 2 (3 x - 2) - 35

\frac{d}{d x} ((z) (z))

(2 p + q)^{2} - 10 (2 p + q) + 25

[2.7]

\frac{d}{d t} ((x) (x^{2}))

What is factor (x-6)+(2x^2) ?
The solution to factor (x-6)+(2x^2) is (2x-3)(x+2)