What is factor 4x^3-12x^2-36x ?

The solution to factor 4x^3-12x^2-36x is 4x(x^2-3x-9)

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factor 4x^3-12x^2-36x

factor

4 x^{3} - 12 x^{2} - 36 x

4 x (x^{2} - 3 x - 9)

Solution steps

4 x^{3} - 12 x^{2} - 36 x

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{2} = xx

= 4 x^{2} x - 12 xx - 36 x

Rewrite

12

4 \cdot 3

Rewrite

36

4 \cdot 9

= 4 x^{2} x - 4 \cdot 3 xx - 4 \cdot 9 x

Factor out common term

4 x

= 4 x (x^{2} - 3 x - 9)

(3 - 5)^{- 1}

4 \cdot 3 \cdot 2 \cdot 1

2 x^{2} - 16 x - 40

+ 3 x^{2} + 5 x - 8

28 + 38

What is factor 4x^3-12x^2-36x ?
The solution to factor 4x^3-12x^2-36x is 4x(x^2-3x-9)