What is factor x^4+4x^3-9x^2-16x+20 ?

The solution to factor x^4+4x^3-9x^2-16x+20 is (x-1)(x+5)(x+2)(x-2)

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factor x^4+4x^3-9x^2-16x+20

factor

x^{4} + 4 x^{3} - 9 x^{2} - 16 x + 20

(x - 1) (x + 5) (x + 2) (x - 2)

Solution steps

x^{4} + 4 x^{3} - 9 x^{2} - 16 x + 20

Use the rational root theorem

= (x - 1) \frac{x ^{4} + 4 x ^{3} - 9 x ^{2} - 16 x + 20}{x - 1}

\frac{x ^{4} + 4 x ^{3} - 9 x ^{2} - 16 x + 20}{x - 1} = x^{3} + 5 x^{2} - 4 x - 20

= (x - 1) (x^{3} + 5 x^{2} - 4 x - 20)

Factor

x^{3} + 5 x^{2} - 4 x - 20 : (x + 5) (x + 2) (x - 2)

= (x - 1) (x + 5) (x + 2) (x - 2)

- x^{2} + 8 x - 12

x^{2} + 4 x \leq 0

4 x^{2} - 40 x + 100 = 0

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

a, y = a e^{\frac{1}{2} (- 2)} + b e^{- \frac{1}{2} (- 2)}

What is factor x^4+4x^3-9x^2-16x+20 ?
The solution to factor x^4+4x^3-9x^2-16x+20 is (x-1)(x+5)(x+2)(x-2)