What is factor x^4-9x^2-4x+12 ?

The solution to factor x^4-9x^2-4x+12 is (x-1)(x+2)^2(x-3)

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factor x^4-9x^2-4x+12

factor

x^{4} - 9 x^{2} - 4 x + 12

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

Solution steps

x^{4} - 9 x^{2} - 4 x + 12

Use the rational root theorem

= (x - 1) \frac{x ^{4} - 9 x ^{2} - 4 x + 12}{x - 1}

\frac{x ^{4} - 9 x ^{2} - 4 x + 12}{x - 1} = x^{3} + x^{2} - 8 x - 12

= (x - 1) (x^{3} + x^{2} - 8 x - 12)

Factor

x^{3} + x^{2} - 8 x - 12 : (x + 2) (x + 2) (x - 3)

= (x - 1) (x + 2) (x + 2) (x - 3)

Apply exponent rule:

aa = a^{2}

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

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

\frac{\frac{1}{x}}{x ^{2}}

x^{2} + 10 + 25

4 x^{2} - 4 y^{2}

\frac{\frac{x + 4}{5} - \frac{1}{x}}{1 - \frac{25}{x ^{2}}}

5 (2 x^{2} y^{3} z)

What is factor x^4-9x^2-4x+12 ?
The solution to factor x^4-9x^2-4x+12 is (x-1)(x+2)^2(x-3)