Question

Factor 15x³-5x+6x-2 by grouping. What is the resulting expression?

O (5x²+2)(3x-1)
O (5x²-2)(3x+1)
O (15x+2)(x-1)
O (15x²-2)(x+1)

Answer 1

Answer: Choice A.
`(5\text{x}^2+2)(3\text{x}-1)`

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Work Shown:

`15\text{x}^3-5\text{x}^2+6\text{x}-2\\\\(15\text{x}^3-5\text{x}^2)+(6\text{x}-2)\\\\5\text{x}^2(3\text{x}-1)+2(3\text{x}-1)\\\\(5\text{x}^2+2)(3\text{x}-1)\\\\`

Step-by-step explanation:

The idea is to pair up the terms into two groups. Factor each group separately. Then we pull out the overall GCF (3x-1) to finish up the factorization. You can use the FOIL rule to expand out the answer to get the original expression again, which helps confirm the answer.