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Popular >

factor a^4+2a^3+1

Solution

factor

a^{4} + 2 a^{3} + 1

Solution

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

Solution steps

a^{4} + 2 a^{3} + 1

Use the rational root theorem

= (a + 1) \frac{a ^{4} + 2 a ^{3} + 1}{a + 1}

\frac{a ^{4} + 2 a ^{3} + 1}{a + 1} = a^{3} + a^{2} - a + 1

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

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Frequently Asked Questions (FAQ)

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