What is factor 3x^4+6x^3+27x^2 ?

The solution to factor 3x^4+6x^3+27x^2 is 3x^2(x^2+2x+9)

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factor 3x^4+6x^3+27x^2

factor

3 x^{4} + 6 x^{3} + 27 x^{2}

3 x^{2} (x^{2} + 2 x + 9)

Solution steps

3 x^{4} + 6 x^{3} + 27 x^{2}

Apply exponent rule:

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

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

= 3 x^{2} x^{2} + 6 x x^{2} + 27 x^{2}

Rewrite

6

3 \cdot 2

Rewrite

27

3 \cdot 9

= 3 x^{2} x^{2} + 3 \cdot 2 x x^{2} + 3 \cdot 9 x^{2}

Factor out common term

3 x^{2}

= 3 x^{2} (x^{2} + 2 x + 9)

- 2 x \cdot \frac{1}{x ^{3}}

2^{2 - l o g_{2} (5)}

∣ - 3 ∣ - 1

\frac{7}{8} + \frac{1}{4}

- 4 x^{2} + 2 x

What is factor 3x^4+6x^3+27x^2 ?
The solution to factor 3x^4+6x^3+27x^2 is 3x^2(x^2+2x+9)