What is factor x^4+3x^3-3x^2-11x-6 ?

The solution to factor x^4+3x^3-3x^2-11x-6 is (x+1)^2(x-2)(x+3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^4+3x^3-3x^2-11x-6

factor

x^{4} + 3 x^{3} - 3 x^{2} - 11 x - 6

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

Solution steps

x^{4} + 3 x^{3} - 3 x^{2} - 11 x - 6

Use the rational root theorem

= (x + 1) \frac{x ^{4} + 3 x ^{3} - 3 x ^{2} - 11 x - 6}{x + 1}

\frac{x ^{4} + 3 x ^{3} - 3 x ^{2} - 11 x - 6}{x + 1} = x^{3} + 2 x^{2} - 5 x - 6

= (x + 1) (x^{3} + 2 x^{2} - 5 x - 6)

Factor

x^{3} + 2 x^{2} - 5 x - 6 : (x + 1) (x - 2) (x + 3)

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

Apply exponent rule:

aa = a^{2}

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

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

16 x^{4} y^{8}

\frac{4}{5} \times \frac{3}{8}

5 (- 8 n + 5) - 4

u^{2} - 81

2 x^{2} - 12

What is factor x^4+3x^3-3x^2-11x-6 ?
The solution to factor x^4+3x^3-3x^2-11x-6 is (x+1)^2(x-2)(x+3)