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Popular >

factor 1+x+x^2+x^3

Solution

factor

1 + x + x^{2} + x^{3}

Solution

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

Solution steps

1 + x + x^{2} + x^{3}

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

Factor out

x^{2}

from

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

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

Factor out common term

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

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

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Frequently Asked Questions (FAQ)

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