Question

The polynomial 2x3 − 5x2 + 4x − 10 is split into two groups, 2x3 + 4x and −5x2 − 10. The GCFs of each group is then factored out.

What is the common binomial factor between the two groups after their GCFs have been factored out?


2x + 5

2x − 5

x2 − 2

x2 + 2

Answer 1

Answer: 2x-5

Step-by-step explanation: B) is correct

Answer 2

`Answer: \\ 2 {x}^(3) - 5 {x}^(2) + 4x - 10 \\ = (2 {x}^(3) + 4x) - (5 {x}^(2) + 10) \\ = 2x( {x}^(2) + 2) - 5( {x}^(2) + 2) \\ = ( {x}^(2) + 2)(2x - 5) \\ Common \: binomial \: factor:2x - 5`