What is factor 8x^5-14x^4-22x^3+57x^2-35x+6 ?

The solution to factor 8x^5-14x^4-22x^3+57x^2-35x+6 is (x-1)(x+2)(4x-3)(2x^2-4x+1)

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factor 8x^5-14x^4-22x^3+57x^2-35x+6

factor

8 x^{5} - 14 x^{4} - 22 x^{3} + 57 x^{2} - 35 x + 6

(x - 1) (x + 2) (4 x - 3) (2 x^{2} - 4 x + 1)

Solution steps

8 x^{5} - 14 x^{4} - 22 x^{3} + 57 x^{2} - 35 x + 6

Use the rational root theorem

= (x - 1) \frac{8 x ^{5} - 14 x ^{4} - 22 x ^{3} + 57 x ^{2} - 35 x + 6}{x - 1}

\frac{8 x ^{5} - 14 x ^{4} - 22 x ^{3} + 57 x ^{2} - 35 x + 6}{x - 1} = 8 x^{4} - 6 x^{3} - 28 x^{2} + 29 x - 6

= (x - 1) (8 x^{4} - 6 x^{3} - 28 x^{2} + 29 x - 6)

Factor

8 x^{4} - 6 x^{3} - 28 x^{2} + 29 x - 6 : (x + 2) (4 x - 3) (2 x^{2} - 4 x + 1)

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

(- 1)^{2}

\frac{7}{12} + \frac{1}{3}

x^{2} + 8 x = 4

- 2 (- x - 3) - 4 x - 1 = 13

e^{3 (- 0.2)} + 3 e^{3 (- 0.2)} (- 0.2) = 0

What is factor 8x^5-14x^4-22x^3+57x^2-35x+6 ?
The solution to factor 8x^5-14x^4-22x^3+57x^2-35x+6 is (x-1)(x+2)(4x-3)(2x^2-4x+1)