Question

1) If 2 is the zero of the polynomial X-5X+ KX +10 then find K?​

Answer 1

p(x) = x - 5x + kx + 10

p(2) = 2 - 10 + 2k + 10

which is equal to zero

or, 2 + 2k = 0

2 k = -2

k = -2 /2

k = -1

Answer 2

Answer:

Since a and b are the zeros of the polynomial f(x)=x

2

−5x+k

The standard quadratic equation is px

2

+qx+r=0

Then Sum of roots = −

p

q

and Product of roots =

p

r

Therefore,

a+b=5 and ab=k

Now, a−b=1

(a−b)

2

=1

(a+b)

2

−4ab=1

25−4k=1

24=4k

k=6