Question

2. The value of polynomial p(x) at x=k is
a) P(x) b) p(x/k) c) p=k d) p(k)​

Answer 1

Let one zero be t other be

t

1

Product = t×

t

1

=1

we know that for ax

2

+bx+c=0 the product of roots=

a

c

Here t,

t

1

are the roots of p(x)=(k+4)x

2

+13x+3k=0

a=k+4,b=13,c=3k

Product of roots =

a

c

=

k+4

3k

=1

3k=k+4

2k=4

∴

k=2