What is factor x^5-25x^3+x^2-25 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^5-25x^3+x^2-25

factor

x^{5} - 25 x^{3} + x^{2} - 25

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

Solution steps

x^{5} - 25 x^{3} + x^{2} - 25

= (x^{5} - 25 x^{3}) + (x^{2} - 25)

Factor out

x^{3}

from

x^{5} - 25 x^{3} : x^{3} (x^{2} - 25)

= x^{3} (x^{2} - 25) + (x^{2} - 25)

Factor out common term

(x^{2} - 25) : (x^{2} - 25) (x^{3} + 1)

= (x^{2} - 25) (x^{3} + 1)

Factor

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

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

Factor

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

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

6 x + 6 x

6 x - 4 x

(\frac{- 1}{3})^{3}

75 x^{5}

- 5 x^{0}

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