(Q10)Why are
1
4
 and -1 zeros of the polynomial p(x)=4x2+3x-1?

Answer:

Given polynomial p(x)=4x2+3x-1

Given zeros are
1
4
and -1
Let x=
1
4
=p(
1
4
)=4(
)2+3(
) -1

= 4×
+
-
1
1

=
+
-
1
1

=
+-
4

=
-
4
=

Let x=-1

p(-1)=4(-)2+3(-)-1= - - 1=

P(
1
4
)= and p(-1)=

So these values are zeros of the polynomial p(x).