find k so that x^2+2x+k is a factor of 2x^4+x^3-14x^2+5x+6. also find all the zeroes of the two polynomial​

Compute the quotient and remainder,

The remainder upon dividing by should leave no remainder, which means

and

Only k = -3 makes both remainder terms vanish.

Then the previous result reduces to

so that

and so the zeroes of the quartic polynomial are x = -3, x = 1, x = -1/2, and x = 2.

the answer is d. 75%

the answer is simply just 6n add the two together as they have an n