What is factor 2x^4-5x^3-20x^2+115x-52 ?

The solution to factor 2x^4-5x^3-20x^2+115x-52 is (2x-1)(x+4)(x^2-6x+13)

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factor 2x^4-5x^3-20x^2+115x-52

factor

2 x^{4} - 5 x^{3} - 20 x^{2} + 115 x - 52

(2 x - 1) (x + 4) (x^{2} - 6 x + 13)

Solution steps

2 x^{4} - 5 x^{3} - 20 x^{2} + 115 x - 52

Use the rational root theorem

= (2 x - 1) \frac{2 x ^{4} - 5 x ^{3} - 20 x ^{2} + 115 x - 52}{2 x - 1}

\frac{2 x ^{4} - 5 x ^{3} - 20 x ^{2} + 115 x - 52}{2 x - 1} = x^{3} - 2 x^{2} - 11 x + 52

= (2 x - 1) (x^{3} - 2 x^{2} - 11 x + 52)

Factor

x^{3} - 2 x^{2} - 11 x + 52 : (x + 4) (x^{2} - 6 x + 13)

= (2 x - 1) (x + 4) (x^{2} - 6 x + 13)

\frac{4}{3 3 - 2}

6 x^{2} + 4 x - 10

18 x^{2} + 9 x - 2

g - 10 = - 2

8 1^{\frac{1}{4}} + 4^{\frac{1}{2}}

What is factor 2x^4-5x^3-20x^2+115x-52 ?
The solution to factor 2x^4-5x^3-20x^2+115x-52 is (2x-1)(x+4)(x^2-6x+13)