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SashulF [63]
1 year ago
15

Find all factors of 2x^3-3x^2-2x

Mathematics
1 answer:
Nesterboy [21]1 year ago
7 0

ANSWER:

x, 2x + 1, x -2

STEP-BY-STEP EXPLANATION:

We have the following expression:

2x^3-3x^2-2x

We simplify as follows to determine the factors:

\begin{gathered} \text{ We factor the common term:} \\  \\ x\left(2x^2-3x-2\right) \\  \\ \text{ Now we factor the following term} \\  \\ 2x^2-3x-2 \\  \\ -3x=x-4x \\  \\ 2x^2+x-4x-2 \\  \\ \left(2x^2+x\right)+\left(-4x-2\right) \\  \\ x\left(2x+1\right)-2\left(2x+1\right) \\  \\ \left(2x+1\right)\left(x-2\right) \\  \\ \text{ Therefore:} \\  \\ 2x^3-3x^2-2x=x\left(2x+1\right)\left(x-2\right) \end{gathered}

The factors would be x, 2x + 1, x -2

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Please check the explanation.

Step-by-step explanation:

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