What is lcm 4x^3+2x^2-4x+6,x-2 ?

The solution to lcm 4x^3+2x^2-4x+6,x-2 is 2(2x^3+x^2-2x+3)(x-2)

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lcm 4x^3+2x^2-4x+6,x-2

lcm

4 x^{3} + 2 x^{2} - 4 x + 6, x - 2

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

Solution steps

Find Least Common Multiplier of

4 x^{3} + 2 x^{2} - 4 x + 6, x - 2

Factor

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

Multiply each factor with the highest power:

2 \cdot (2 x^{3} + x^{2} - 2 x + 3) \cdot (x - 2)

4 m + 5 y - 3 z, 2 x - 2 y + 5 z

1 \cdot 4 \cdot 1 0^{- 3}, 0 \cdot 32 a

\frac{3}{7}, \frac{x}{42}

2 x + 1 >, - 5

\frac{1}{2} (a - b), \frac{1}{2} a - b

What is lcm 4x^3+2x^2-4x+6,x-2 ?
The solution to lcm 4x^3+2x^2-4x+6,x-2 is 2(2x^3+x^2-2x+3)(x-2)