What is factor x^3-9x^2+15x+25 ?

The solution to factor x^3-9x^2+15x+25 is (x+1)(x-5)^2

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factor x^3-9x^2+15x+25

factor

x^{3} - 9 x^{2} + 15 x + 25

(x + 1) (x - 5)^{2}

Solution steps

x^{3} - 9 x^{2} + 15 x + 25

Use the rational root theorem

= (x + 1) \frac{x ^{3} - 9 x ^{2} + 15 x + 25}{x + 1}

\frac{x ^{3} - 9 x ^{2} + 15 x + 25}{x + 1} = x^{2} - 10 x + 25

= (x + 1) (x^{2} - 10 x + 25)

Factor

x^{2} - 10 x + 25 : (x - 5) (x - 5)

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

Apply exponent rule:

aa = a^{2}

(x - 5) (x - 5) = (x - 5)^{2}

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

\frac{\frac{3}{5}}{\frac{4}{5}}

\frac{10 !}{( 10 - 4 ) !}

3 n^{4} - 6 n^{2} + 9 n

- 6 m + 8 n + 5 - m - n - 6 m - 11

27 a^{3} + 8 b^{3}

What is factor x^3-9x^2+15x+25 ?
The solution to factor x^3-9x^2+15x+25 is (x+1)(x-5)^2