Question

Find K if - 4 is zero
of polynominal x^2 - x -( 3k +2)​

Answer 1

Answer :

k = 6

Note :

• If x = a is a zero of the polynomial p(x) , then p(a) = 0 .

Solution :

Here ,

The given polynomial is ;

x² - x - (3k + 2)

Let the given polynomial be p(x) .

Thus ,

p(x) = x² - x - (3k + 2)

Also ,

It is given that , x = -4 is a zero of the given polynomial .

Thus ,

=> p(-4) = 0

=> (-4)² - (-4) - (3k + 2) = 0

=> 16 + 4 - 3k - 2 = 0

=> 18 - 3k = 0

=> -3k = -18

=> k = -18/-3

=> k = 6

Hence , k = 6