What is factor 5x^4+10x^3+15x^2 ?

The solution to factor 5x^4+10x^3+15x^2 is 5x^2(x^2+2x+3)

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factor 5x^4+10x^3+15x^2

factor

5 x^{4} + 10 x^{3} + 15 x^{2}

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

Solution steps

5 x^{4} + 10 x^{3} + 15 x^{2}

Apply exponent rule:

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

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

= 5 x^{2} x^{2} + 10 x x^{2} + 15 x^{2}

Rewrite

10

5 \cdot 2

Rewrite

15

5 \cdot 3

= 5 x^{2} x^{2} + 5 \cdot 2 x x^{2} + 5 \cdot 3 x^{2}

Factor out common term

5 x^{2}

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

- 4 - 2 i

6 x + 24

\frac{14 !}{10 ! ( 14 - 10 ) !}

\frac{x}{7} = 8

121 m^{2} - 144 p^{2}

What is factor 5x^4+10x^3+15x^2 ?
The solution to factor 5x^4+10x^3+15x^2 is 5x^2(x^2+2x+3)