What is factor x^5-6x^4-12x^3+82x^2-45x+300 ?

The solution to factor x^5-6x^4-12x^3+82x^2-45x+300 is (x+4)(x-5)^2(x^2+3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^5-6x^4-12x^3+82x^2-45x+300

factor

x^{5} - 6 x^{4} - 12 x^{3} + 82 x^{2} - 45 x + 300

(x + 4) (x - 5)^{2} (x^{2} + 3)

Solution steps

x^{5} - 6 x^{4} - 12 x^{3} + 82 x^{2} - 45 x + 300

Use the rational root theorem

= (x + 4) \frac{x ^{5} - 6 x ^{4} - 12 x ^{3} + 82 x ^{2} - 45 x + 300}{x + 4}

\frac{x ^{5} - 6 x ^{4} - 12 x ^{3} + 82 x ^{2} - 45 x + 300}{x + 4} = x^{4} - 10 x^{3} + 28 x^{2} - 30 x + 75

= (x + 4) (x^{4} - 10 x^{3} + 28 x^{2} - 30 x + 75)

Factor

x^{4} - 10 x^{3} + 28 x^{2} - 30 x + 75 : (x - 5) (x - 5) (x^{2} + 3)

= (x + 4) (x - 5) (x - 5) (x^{2} + 3)

Apply exponent rule:

aa = a^{2}

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

= (x + 4) (x - 5)^{2} (x^{2} + 3)

\frac{∣ m ∣}{5} = 3

\frac{π \cdot 9 \cdot 1 0 ^{6}}{2} \cdot 0. 5^{4} \cdot \frac{3.0 1 ^{4}}{1 0 ^{12}}

\frac{3}{5} + 3

3 x^{2} - 7 x - 20

- 16 t^{2} + 128 t = 0

What is factor x^5-6x^4-12x^3+82x^2-45x+300 ?
The solution to factor x^5-6x^4-12x^3+82x^2-45x+300 is (x+4)(x-5)^2(x^2+3)