What is factor 4x^4+19x^3+3x^2-34x+8 ?

The solution to factor 4x^4+19x^3+3x^2-34x+8 is (x-1)(4x-1)(x+2)(x+4)

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factor 4x^4+19x^3+3x^2-34x+8

factor

4 x^{4} + 19 x^{3} + 3 x^{2} - 34 x + 8

(x - 1) (4 x - 1) (x + 2) (x + 4)

Solution steps

4 x^{4} + 19 x^{3} + 3 x^{2} - 34 x + 8

Use the rational root theorem

= (x - 1) \frac{4 x ^{4} + 19 x ^{3} + 3 x ^{2} - 34 x + 8}{x - 1}

\frac{4 x ^{4} + 19 x ^{3} + 3 x ^{2} - 34 x + 8}{x - 1} = 4 x^{3} + 23 x^{2} + 26 x - 8

= (x - 1) (4 x^{3} + 23 x^{2} + 26 x - 8)

Factor

4 x^{3} + 23 x^{2} + 26 x - 8 : (4 x - 1) (x + 2) (x + 4)

= (x - 1) (4 x - 1) (x + 2) (x + 4)

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What is factor 4x^4+19x^3+3x^2-34x+8 ?
The solution to factor 4x^4+19x^3+3x^2-34x+8 is (x-1)(4x-1)(x+2)(x+4)