What is factor x^4+6x^3+x^2-24x+16 ?

The solution to factor x^4+6x^3+x^2-24x+16 is (x-1)^2(x+4)^2

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factor x^4+6x^3+x^2-24x+16

factor

x^{4} + 6 x^{3} + x^{2} - 24 x + 16

(x - 1)^{2} (x + 4)^{2}

Solution steps

x^{4} + 6 x^{3} + x^{2} - 24 x + 16

Use the rational root theorem

= (x - 1) \frac{x ^{4} + 6 x ^{3} + x ^{2} - 24 x + 16}{x - 1}

\frac{x ^{4} + 6 x ^{3} + x ^{2} - 24 x + 16}{x - 1} = x^{3} + 7 x^{2} + 8 x - 16

= (x - 1) (x^{3} + 7 x^{2} + 8 x - 16)

Factor

x^{3} + 7 x^{2} + 8 x - 16 : (x - 1) (x + 4) (x + 4)

= (x - 1) (x - 1) (x + 4) (x + 4)

Simplify

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

c^{2} + 11 c - 12

\frac{1}{10} + \frac{1}{12}

2 (3 w - 6) = 12

\frac{2}{5} \geq x - \frac{4}{5}

\frac{( 5 - 7 i )}{( 2 - 5 i )}

What is factor x^4+6x^3+x^2-24x+16 ?
The solution to factor x^4+6x^3+x^2-24x+16 is (x-1)^2(x+4)^2