What is factor 10x^3+3x^2-x-10x^2-3x+1 ?

The solution to factor 10x^3+3x^2-x-10x^2-3x+1 is (x-1)(5x-1)(2x+1)

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factor 10x^3+3x^2-x-10x^2-3x+1

factor

10 x^{3} + 3 x^{2} - x - 10 x^{2} - 3 x + 1

(x - 1) (5 x - 1) (2 x + 1)

Solution steps

10 x^{3} + 3 x^{2} - x - 10 x^{2} - 3 x + 1

Add similar elements:

3 x^{2} - 10 x^{2} = - 7 x^{2}

= 10 x^{3} - 7 x^{2} - x - 3 x + 1

Add similar elements:

- x - 3 x = - 4 x

= 10 x^{3} - 7 x^{2} - 4 x + 1

Use the rational root theorem

= (x - 1) \frac{10 x ^{3} - 7 x ^{2} - 4 x + 1}{x - 1}

\frac{10 x ^{3} - 7 x ^{2} - 4 x + 1}{x - 1} = 10 x^{2} + 3 x - 1

= (x - 1) (10 x^{2} + 3 x - 1)

Factor

10 x^{2} + 3 x - 1 : (5 x - 1) (2 x + 1)

= (x - 1) (5 x - 1) (2 x + 1)

\frac{1}{8} = \frac{x}{2 π}

25 x^{2} - 40 x y + 16 y^{2}

x^{2} - 11 = x + 9

a^{2} = - 15 - 8 a

- (- 4)^{2} - 4 (- 4) + 5

What is factor 10x^3+3x^2-x-10x^2-3x+1 ?
The solution to factor 10x^3+3x^2-x-10x^2-3x+1 is (x-1)(5x-1)(2x+1)