Question

For what value of k, is −3 a zero of the polynomial x² + 11x + k?

Answer 1

We know that if ` x = a` is zeros polynomial, then `x -a` is a factor of  `f(x)`

Since  -3  is zero of  f(x). Therefore  x + 3 is a factor of f (x)

Now, we divide `f(x) = x^2 + 11x + k`  by  `g(x)= x+3` to find the value of k.

Now, Remainder = 0 

`k - 24 = 0`

`k = 24`

Hence, the value of k is 24 .