Question

he 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?

Answer 1

x² + 2

Explanation:

Answer 2

We take GCF by factoring out the algebraic expression.
2x³ + 4x is factored out into 2x(x² + 2) and
−5x² − 10 is factored out into −5(x² + 2)
Therefore the common binomial factor is x² + 2