P(x) = 2x4+6x3-5x-10; (x+2)
Determine if it’s a factor

Step-by-step explanation:

Using the remainder theorem when , when the value of x + 2 is substituted into the polynomial if it's a factor it will produce a result of zero else any number will prove that it's not a factor.

So we have

x + 2 = 0

x = - 2

Substitute the value of x into the polynomial

That's

Since it leaves a remainder of - 16 (x + 2) is not a factor of the polynomial

Hope this helps you