What is factor 2x^4+4x^3-14x^2 ?

The solution to factor 2x^4+4x^3-14x^2 is 2x^2(x^2+2x-7)

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factor 2x^4+4x^3-14x^2

factor

2 x^{4} + 4 x^{3} - 14 x^{2}

2 x^{2} (x^{2} + 2 x - 7)

Solution steps

2 x^{4} + 4 x^{3} - 14 x^{2}

Apply exponent rule:

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

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

= 2 x^{2} x^{2} + 4 x x^{2} - 14 x^{2}

Rewrite

4

2 \cdot 2

Rewrite

14

2 \cdot 7

= 2 x^{2} x^{2} + 2 \cdot 2 x x^{2} - 2 \cdot 7 x^{2}

Factor out common term

2 x^{2}

= 2 x^{2} (x^{2} + 2 x - 7)

4 ∣ - 6 x + 2 ∣ + 5 \leq 85

\frac{225}{16}

x^{2} - 9 x + 0

5 x - 1 \leq 2

2 x^{3} + x^{2} - 4 x - 3

What is factor 2x^4+4x^3-14x^2 ?
The solution to factor 2x^4+4x^3-14x^2 is 2x^2(x^2+2x-7)