What is factor 2t^8+6t^5-20t^2 ?

The solution to factor 2t^8+6t^5-20t^2 is 2t^2(t^6+3t^3-10)

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factor 2t^8+6t^5-20t^2

factor

2 t^{8} + 6 t^{5} - 20 t^{2}

2 t^{2} (t^{6} + 3 t^{3} - 10)

Solution steps

2 t^{8} + 6 t^{5} - 20 t^{2}

Apply exponent rule:

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

t^{5} = t^{3} t^{2}

= 2 t^{6} t^{2} + 6 t^{3} t^{2} - 20 t^{2}

Rewrite

6

2 \cdot 3

Rewrite

20

2 \cdot 10

= 2 t^{6} t^{2} + 2 \cdot 3 t^{3} t^{2} - 2 \cdot 10 t^{2}

Factor out common term

2 t^{2}

= 2 t^{2} (t^{6} + 3 t^{3} - 10)

7 = - 0.004 x^{2} + 1.15 x + 15

x - 2

\frac{5}{4} \cdot 4

\frac{3 x - 2}{4} - \frac{2 x + 5}{3} = \frac{1 - x}{6}

\frac{3 x + 4}{x - 4} \leq x - 1

What is factor 2t^8+6t^5-20t^2 ?
The solution to factor 2t^8+6t^5-20t^2 is 2t^2(t^6+3t^3-10)