What is factor x^4+7x^3-5x^2-75x ?

The solution to factor x^4+7x^3-5x^2-75x is x(x-3)(x+5)^2

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factor x^4+7x^3-5x^2-75x

factor

x^{4} + 7 x^{3} - 5 x^{2} - 75 x

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

Solution steps

x^{4} + 7 x^{3} - 5 x^{2} - 75 x

Factor out common term

x : x (x^{3} + 7 x^{2} - 5 x - 75)

= x (x^{3} + 7 x^{2} - 5 x - 75)

Factor

x^{3} + 7 x^{2} - 5 x - 75 : (x - 3) (x + 5) (x + 5)

= x (x - 3) (x + 5) (x + 5)

Apply exponent rule:

aa = a^{2}

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

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

+ x (x - y) + y (y - x)

77

\frac{x}{x - 3} - \frac{3}{x}

- 7 \times (- 3)

218 - 532

What is factor x^4+7x^3-5x^2-75x ?
The solution to factor x^4+7x^3-5x^2-75x is x(x-3)(x+5)^2