What is factor 3n^4+21n^3+27n^2 ?

The solution to factor 3n^4+21n^3+27n^2 is 3n^2(n^2+7n+9)

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factor 3n^4+21n^3+27n^2

factor

3 n^{4} + 21 n^{3} + 27 n^{2}

3 n^{2} (n^{2} + 7 n + 9)

Solution steps

3 n^{4} + 21 n^{3} + 27 n^{2}

Apply exponent rule:

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

n^{3} = n n^{2}

= 3 n^{2} n^{2} + 21 n n^{2} + 27 n^{2}

Rewrite

21

3 \cdot 7

Rewrite

27

3 \cdot 9

= 3 n^{2} n^{2} + 3 \cdot 7 n n^{2} + 3 \cdot 9 n^{2}

Factor out common term

3 n^{2}

= 3 n^{2} (n^{2} + 7 n + 9)

a \cdot \frac{1}{a}

\frac{1 0 ^{- 14}}{1.7 \cdot 1 0 ^{- 9}}

2 x^{2} - x - 36 = 0

5 x^{2} = 20 x

36 r^{2} + 84 r + 49 = 0

What is factor 3n^4+21n^3+27n^2 ?
The solution to factor 3n^4+21n^3+27n^2 is 3n^2(n^2+7n+9)