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?

a)2x + 5

b)2x − 5

c)x2 − 2

d)x2 + 2

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meerkat18 meerkat18 · Answer 1 · 2016-06-07T13:53:54-04:00

2x³ - 5x² + 4x - 10

(2x³ + 4x) + (-5x² - 10)

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

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sheenuvt12 sheenuvt12 · Answer 2 · 2022-06-06T15:00:45-04:00

The common binomial factor between the two groups after their GFCs factored out 2x + 5.

The correct option is (A)

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Given: 2x³ - 5x² + 4x - 10, splits into (2x³ + 4x) + (-5x² - 10)

So, to find the GCF factorise each term

= (2x³ + 4x) + (-5x² - 10)

= 2xxx+22x-5xx-25

= 2x(x²+2)-5(x²+2)

= (2x-5) (x²+2)

Hence, the common binomial factor between the two groups (2x-5).

Learn more about GCF here:

https://brainly.com/question/11444998

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