Question

Find the value of k if (x-3) is a factor of x^2-kx-2

Answer 1

Given,

It is given that  (x-3) is a factor of x²-kx-2.

To find,

We have to find the value of k.

Solution,

The value of k if  (x-3) is a factor of x²-kx-2 is 7/3.

We can simply find the value of k if (x-3) is a factor of x²-kx-2 by substituting the given factor into the given quadratic equation.

     x -3 = 0

         x = 3

Substituting the value of x = 3 in x²-kx-2, we get

p(3) = (3)² - k(3) -2

      = 9 -3k -2

      = 7-3k

Since (x-3) is a factor of x²-kx-2, then 7-3k = 0

    7-3k = 0

       -3k = -7

          k = 7/3

Hence, the value of k  if (x-3) is a factor of x²-kx-2 is 7/3.

Answer 2

Step-by-step explanation:

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