What is lcm 4x^2+6x+8,x^3-x^2+x-5 ?

The solution to lcm 4x^2+6x+8,x^3-x^2+x-5 is 2(2x^2+3x+4)(x^3-x^2+x-5)

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lcm 4x^2+6x+8,x^3-x^2+x-5

lcm

4 x^{2} + 6 x + 8, x^{3} - x^{2} + x - 5

2 (2 x^{2} + 3 x + 4) (x^{3} - x^{2} + x - 5)

Solution steps

Find Least Common Multiplier of

4 x^{2} + 6 x + 8, x^{3} - x^{2} + x - 5

Factor

4 x^{2} + 6 x + 8 : 2 (2 x^{2} + 3 x + 4)

Multiply each factor with the highest power:

2 \cdot (2 x^{2} + 3 x + 4) \cdot (x^{3} - x^{2} + x - 5)

k - 2, k + 3

x^{2} - 3 x, 2 x^{2} - 9

2^{n} 1, 2, 3, 4, 5

a^{4} + a^{2} + 1, a^{2} - a + 1

∣ x ∣ \cdot 3^{∣} x, = 1

What is lcm 4x^2+6x+8,x^3-x^2+x-5 ?
The solution to lcm 4x^2+6x+8,x^3-x^2+x-5 is 2(2x^2+3x+4)(x^3-x^2+x-5)