What is factor 3x^4+6x^3+9x^2 ?

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

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factor 3x^4+6x^3+9x^2

factor

3 x^{4} + 6 x^{3} + 9 x^{2}

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

Solution steps

3 x^{4} + 6 x^{3} + 9 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} + 9 x^{2}

Rewrite

6

3 \cdot 2

Rewrite

9

3 \cdot 3

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

Factor out common term

3 x^{2}

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

5 lo g_{2} (2)

40 x^{3} - 25 x^{2} + 64 x - 40

- 7 r = - 140

∣ x ∣ - ∣ x - 1 ∣ + x \geq 0

- 12 x^{2} + 72 x

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