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Popular >

factor x^4+x^3-x-1

Solution

factor

x^{4} + x^{3} - x - 1

Solution

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

Solution steps

x^{4} + x^{3} - x - 1

= (x^{4} + x^{3}) + (- x - 1)

Factor out

x^{3}

from

x^{4} + x^{3} : x^{3} (x + 1)

Factor out

- 1

from

- x - 1 : - (x + 1)

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

Factor out common term

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

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

Factor

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

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

Popular Examples

2x+1<15\lor 3x-4>=-1

2 x + 1 < 15 or 3 x - 4 \geq - 1

simplify (5-7i+i^2)+(8i^3+12)simplify

(5 - 7 i + i^{2}) + (8 i^{3} + 12)

14 = \frac{3}{4} x

∣ c - 2 ∣ > 6

simplify (3.01^2-9)/(3.01-3)simplify

\frac{3.0 1 ^{2} - 9}{3.01 - 3}

Frequently Asked Questions (FAQ)

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