What is factor 3x^3-12x^2+15x ?

The solution to factor 3x^3-12x^2+15x is 3x(x^2-4x+5)

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factor 3x^3-12x^2+15x

factor

3 x^{3} - 12 x^{2} + 15 x

3 x (x^{2} - 4 x + 5)

Solution steps

3 x^{3} - 12 x^{2} + 15 x

Apply exponent rule:

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

x^{2} = xx

= 3 x^{2} x - 12 xx + 15 x

Rewrite

12

3 \cdot 4

Rewrite

15

3 \cdot 5

= 3 x^{2} x - 3 \cdot 4 xx + 3 \cdot 5 x

Factor out common term

3 x

= 3 x (x^{2} - 4 x + 5)

f (t) = t^{2}

\int 8 y^{- 3} d y

f (x) = \frac{8}{x ^{2} + 4}, at x = 4

\frac{\partial}{\partial y} (x^{2} + y^{2} - 4 y)

\int x arctan (16 x) d x

What is factor 3x^3-12x^2+15x ?
The solution to factor 3x^3-12x^2+15x is 3x(x^2-4x+5)