What is factor-8x^7+24x^6+12x^5 ?

The solution to factor-8x^7+24x^6+12x^5 is 4x^5(-2x^2+6x+3)

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factor-8x^7+24x^6+12x^5

factor

- 8 x^{7} + 24 x^{6} + 12 x^{5}

4 x^{5} (- 2 x^{2} + 6 x + 3)

Solution steps

- 8 x^{7} + 24 x^{6} + 12 x^{5}

Apply exponent rule:

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

x^{6} = x x^{5}

= - 8 x^{2} x^{5} + 24 x x^{5} + 12 x^{5}

Rewrite

8

4 \cdot 2

Rewrite

24

4 \cdot 6

= - 4 \cdot 2 x^{2} x^{5} + 4 \cdot 6 x x^{5} + 4 \cdot 3 x^{5}

Factor out common term

4 x^{5}

= 4 x^{5} (- 2 x^{2} + 6 x + 3)

\frac{- 24}{4}

\frac{- 24}{6}

6 x^{2} + x^{2}

4 x - 8 x

∣ 2 - 6 ∣

What is factor-8x^7+24x^6+12x^5 ?
The solution to factor-8x^7+24x^6+12x^5 is 4x^5(-2x^2+6x+3)