What is factor x^4-x^2+4x^3-4x-45x^2+45 ?

The solution to factor x^4-x^2+4x^3-4x-45x^2+45 is (x-1)(x+1)(x-5)(x+9)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^4-x^2+4x^3-4x-45x^2+45

factor

x^{4} - x^{2} + 4 x^{3} - 4 x - 45 x^{2} + 45

(x - 1) (x + 1) (x - 5) (x + 9)

Solution steps

x^{4} - x^{2} + 4 x^{3} - 4 x - 45 x^{2} + 45

Add similar elements:

- x^{2} - 45 x^{2} = - 46 x^{2}

= x^{4} - 46 x^{2} + 4 x^{3} - 4 x + 45

Write in the standard form

= x^{4} + 4 x^{3} - 46 x^{2} - 4 x + 45

Use the rational root theorem

= (x - 1) \frac{x ^{4} + 4 x ^{3} - 46 x ^{2} - 4 x + 45}{x - 1}

\frac{x ^{4} + 4 x ^{3} - 46 x ^{2} - 4 x + 45}{x - 1} = x^{3} + 5 x^{2} - 41 x - 45

= (x - 1) (x^{3} + 5 x^{2} - 41 x - 45)

Factor

x^{3} + 5 x^{2} - 41 x - 45 : (x + 1) (x - 5) (x + 9)

= (x - 1) (x + 1) (x - 5) (x + 9)

3 x^{2} + 7 x - 6 = 0

360 \cdot \frac{π}{180}

4 x^{2} + 5 x - 6 = 0

(- 25)^{2}

n (1 - \frac{t}{1 - x})^{n - 1} \cdot \frac{1}{1 - x}

What is factor x^4-x^2+4x^3-4x-45x^2+45 ?
The solution to factor x^4-x^2+4x^3-4x-45x^2+45 is (x-1)(x+1)(x-5)(x+9)