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

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. $x^{2}+2$