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

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

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

factor

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

(x + 1)^{3} (x - 2)

Solution steps

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

Use the rational root theorem

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

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

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

Factor

x^{3} - 3 x - 2 : (x + 1) (x + 1) (x - 2)

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

Apply exponent rule:

aaa = a^{3}

(x + 1) (x + 1) (x + 1) = (x + 1)^{3}

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

a - 8 a \cdot b^{3}

f (x) - 4 x^{2} + 100 x - 60

x + \frac{y}{x ^{2}} - y + c - 2 \frac{y}{3} x^{2} - 3 y

(\frac{- a}{c})^{2} - 2 (\frac{b}{c})

4 a^{4} - 5 a^{2} + 1

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