What is factor 2x^5+5x^4+11x^3-49x^2-31x+26 ?

The solution to factor 2x^5+5x^4+11x^3-49x^2-31x+26 is (x+1)(2x-1)(x-2)(x^2+4x+13)

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factor 2x^5+5x^4+11x^3-49x^2-31x+26

factor

2 x^{5} + 5 x^{4} + 11 x^{3} - 49 x^{2} - 31 x + 26

(x + 1) (2 x - 1) (x - 2) (x^{2} + 4 x + 13)

Solution steps

2 x^{5} + 5 x^{4} + 11 x^{3} - 49 x^{2} - 31 x + 26

Use the rational root theorem

= (x + 1) \frac{2 x ^{5} + 5 x ^{4} + 11 x ^{3} - 49 x ^{2} - 31 x + 26}{x + 1}

\frac{2 x ^{5} + 5 x ^{4} + 11 x ^{3} - 49 x ^{2} - 31 x + 26}{x + 1} = 2 x^{4} + 3 x^{3} + 8 x^{2} - 57 x + 26

= (x + 1) (2 x^{4} + 3 x^{3} + 8 x^{2} - 57 x + 26)

Factor

2 x^{4} + 3 x^{3} + 8 x^{2} - 57 x + 26 : (2 x - 1) (x - 2) (x^{2} + 4 x + 13)

= (x + 1) (2 x - 1) (x - 2) (x^{2} + 4 x + 13)

\frac{- 6 ( 3 - 2 x ) - 6 x}{x - 3}

\frac{2 \cdot ( - 3 )}{- 2 + 100 - 36}

(4 x^{2} - 3 y^{3})^{4}

8 x^{6} + 7 x^{3} - 1

\frac{( x ^{- 2} y ^{4} ) ^{3}}{( x y ) ^{- 3}}

What is factor 2x^5+5x^4+11x^3-49x^2-31x+26 ?
The solution to factor 2x^5+5x^4+11x^3-49x^2-31x+26 is (x+1)(2x-1)(x-2)(x^2+4x+13)