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

x^2 + 2

Explanation: 2x^3 + 4x = 2x(x^2 + 2) and −5x^2 − 10 = −5(x^2 + 2), so the common binomial factor is x^2 + 2.