What is factor x^4+2x^3-3x^2-25x^2-50x+75 ?

The solution to factor x^4+2x^3-3x^2-25x^2-50x+75 is (x-1)(x+3)(x+5)(x-5)

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factor x^4+2x^3-3x^2-25x^2-50x+75

factor

x^{4} + 2 x^{3} - 3 x^{2} - 25 x^{2} - 50 x + 75

(x - 1) (x + 3) (x + 5) (x - 5)

Solution steps

x^{4} + 2 x^{3} - 3 x^{2} - 25 x^{2} - 50 x + 75

Add similar elements:

- 3 x^{2} - 25 x^{2} = - 28 x^{2}

= x^{4} + 2 x^{3} - 28 x^{2} - 50 x + 75

Use the rational root theorem

= (x - 1) \frac{x ^{4} + 2 x ^{3} - 28 x ^{2} - 50 x + 75}{x - 1}

\frac{x ^{4} + 2 x ^{3} - 28 x ^{2} - 50 x + 75}{x - 1} = x^{3} + 3 x^{2} - 25 x - 75

= (x - 1) (x^{3} + 3 x^{2} - 25 x - 75)

Factor

x^{3} + 3 x^{2} - 25 x - 75 : (x + 3) (x + 5) (x - 5)

= (x - 1) (x + 3) (x + 5) (x - 5)

\frac{9}{8} + \frac{3}{2}

2 x^{3} - 8 x^{2} - 24 x

2 a^{2} + 12 a = - 32

- 4 < 2 x + 1 < 5

x^{2} + 5 x - 7 = 0

What is factor x^4+2x^3-3x^2-25x^2-50x+75 ?
The solution to factor x^4+2x^3-3x^2-25x^2-50x+75 is (x-1)(x+3)(x+5)(x-5)