Question

find the value of k (x + 2) is a factor of 2 x cube + 5 x square - X + k ​

Answer 1

Answer:

Step-by-step explanation:

If (x + 2) is a factor of given polynomial then whole equation will be equals to zero.

Zeroes of (x+2) 》x= -2

Now,let p(x) = 2x³+5x²-x+k

p(-2) =》 2(-2)³+5(-2)²-(-2)+k = 0

=》2×(-8)+5×4+2+ k= 0

=》-16+20+2+k= 0

=》-16+22+k= 0

=》6+k= 0

=》k=-6