What is factor x^4-4x^3-x^2+14x+10 ?

The solution to factor x^4-4x^3-x^2+14x+10 is (x+1)^2(x^2-6x+10)

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factor x^4-4x^3-x^2+14x+10

factor

x^{4} - 4 x^{3} - x^{2} + 14 x + 10

(x + 1)^{2} (x^{2} - 6 x + 10)

Solution steps

x^{4} - 4 x^{3} - x^{2} + 14 x + 10

Use the rational root theorem

= (x + 1) \frac{x ^{4} - 4 x ^{3} - x ^{2} + 14 x + 10}{x + 1}

\frac{x ^{4} - 4 x ^{3} - x ^{2} + 14 x + 10}{x + 1} = x^{3} - 5 x^{2} + 4 x + 10

= (x + 1) (x^{3} - 5 x^{2} + 4 x + 10)

Factor

x^{3} - 5 x^{2} + 4 x + 10 : (x + 1) (x^{2} - 6 x + 10)

= (x + 1) (x + 1) (x^{2} - 6 x + 10)

Apply exponent rule:

aa = a^{2}

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

= (x + 1)^{2} (x^{2} - 6 x + 10)

25 x^{\frac{3}{2}}

z^{2} + z - 1 = 0

\frac{x ^{2} - 1}{x ^{2} + 5 x + 4} \leq 0

∣ x + 3 ∣ > 0

\frac{6 x - 6}{8} = - 5 x + 28

What is factor x^4-4x^3-x^2+14x+10 ?
The solution to factor x^4-4x^3-x^2+14x+10 is (x+1)^2(x^2-6x+10)