What is factor 6x^4-30x^3+2x^2 ?

The solution to factor 6x^4-30x^3+2x^2 is 2x^2(3x^2-15x+1)

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factor 6x^4-30x^3+2x^2

factor

6 x^{4} - 30 x^{3} + 2 x^{2}

2 x^{2} (3 x^{2} - 15 x + 1)

Solution steps

6 x^{4} - 30 x^{3} + 2 x^{2}

Apply exponent rule:

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

x^{3} = x x^{2}

= 6 x^{2} x^{2} - 30 x x^{2} + 2 x^{2}

Rewrite

6

2 \cdot 3

Rewrite

30

2 \cdot 15

= 2 \cdot 3 x^{2} x^{2} - 2 \cdot 15 x x^{2} + 2 \cdot 1 \cdot x^{2}

Factor out common term

2 x^{2}

= 2 x^{2} (3 x^{2} - 15 x + 1)

\frac{2}{3} x

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

\frac{f ( x )}{g ( x )}

2 (x - 5)

a^{2} + a^{2}

What is factor 6x^4-30x^3+2x^2 ?
The solution to factor 6x^4-30x^3+2x^2 is 2x^2(3x^2-15x+1)