What is factor 2x^4+23x^3+49x^2+23x+2 ?

The solution to factor 2x^4+23x^3+49x^2+23x+2 is (2x+1)(x+2)(x^2+9x+1)

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factor 2x^4+23x^3+49x^2+23x+2

factor

2 x^{4} + 23 x^{3} + 49 x^{2} + 23 x + 2

(2 x + 1) (x + 2) (x^{2} + 9 x + 1)

Solution steps

2 x^{4} + 23 x^{3} + 49 x^{2} + 23 x + 2

Use the rational root theorem

= (2 x + 1) \frac{2 x ^{4} + 23 x ^{3} + 49 x ^{2} + 23 x + 2}{2 x + 1}

\frac{2 x ^{4} + 23 x ^{3} + 49 x ^{2} + 23 x + 2}{2 x + 1} = x^{3} + 11 x^{2} + 19 x + 2

= (2 x + 1) (x^{3} + 11 x^{2} + 19 x + 2)

Factor

x^{3} + 11 x^{2} + 19 x + 2 : (x + 2) (x^{2} + 9 x + 1)

= (2 x + 1) (x + 2) (x^{2} + 9 x + 1)

3^{- 1} + 2^{- 1}

x^{2} + 4 x = 77

\frac{x - y}{y ^{2} + x y - 2 x ^{2}}

x^{2} - 5 x - 14 < 0

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

What is factor 2x^4+23x^3+49x^2+23x+2 ?
The solution to factor 2x^4+23x^3+49x^2+23x+2 is (2x+1)(x+2)(x^2+9x+1)