the polynomial 2x^3 - 5x^2 + 4x - 10 is split into two groups, 2x^3 + 4x and -5x^2 - 10. the gcfs of each…

the polynomial 2x^3 - 5x^2 + 4x - 10 is split into two groups, 2x^3 + 4x and -5x^2 - 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 x^2 - 2 x^2 + 2

the polynomial 2x^3 - 5x^2 + 4x - 10 is split into two groups, 2x^3 + 4x and -5x^2 - 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 x^2 - 2 x^2 + 2

Answer

Explanation:

Step1: Factor out GCF of first group

Factor out the GCF of (2x^{3}+4x). The GCF of (2x^{3}) and (4x) is (2x), so (2x^{3}+4x = 2x(x^{2}+2)).

Step2: Factor out GCF of second group

Factor out the GCF of (-5x^{2}-10). The GCF of (-5x^{2}) and (- 10) is (-5), so (-5x^{2}-10=-5(x^{2}+2)).

Answer:

D. (x^{2}+2)