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Popular >

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

Solution

factor

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

Solution

3 x (x^{2} - 4 x + 1)

Solution steps

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

Apply exponent rule:

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

x^{2} = xx

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

Rewrite

12

as

3 \cdot 4

Rewrite

3

as

3 \cdot 1

= 3 x^{2} x - 3 \cdot 4 xx + 3 \cdot 1 \cdot x

Factor out common term

3 x

= 3 x (x^{2} - 4 x + 1)

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Frequently Asked Questions (FAQ)

What is factor 3x^3-12x^2+3x ?
The solution to factor 3x^3-12x^2+3x is 3x(x^2-4x+1)