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?

1.) 2x + 5
2.) 2x − 5
3.) x2 − 2
4.) x2 + 2

Answer 1

Answer:

Option D  x² + 2

Step-by-step explanation:

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

Answer 2

Step-by-step explanation:

2x³ - 5x² + 4x - 10

(2x³ + 4x) + (-5x² - 10)

2x(x² + 2) - 5(x² + 2) = Answer is Choice D. x² + 2