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Find the value of
MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials
Problem
3. Find the value of
k
k
k
, if
x
−
1
x-1
x
−
1
is a factor of
p
(
x
)
p(x)
p
(
x
)
in each of the following cases: (i)
p
(
x
)
=
x
2
+
x
+
k
p(x)=x^{2}+x+k
p
(
x
)
=
x
2
+
x
+
k
(ii)
p
(
x
)
=
2
x
2
+
k
x
+
2
p(x)=2 x^{2}+k x+\sqrt{2}
p
(
x
)
=
2
x
2
+
k
x
+
2
(iii)
p
(
x
)
=
k
x
2
−
2
x
+
1
p(x)=k x^{2}-\sqrt{2} x+1
p
(
x
)
=
k
x
2
−
2
x
+
1
(iv)
p
(
x
)
=
k
x
2
−
3
x
+
k
p(x)=k x^{2}-3 x+k
p
(
x
)
=
k
x
2
−
3
x
+
k
Related theory
Polynomials
Functions
Polynomial Functions
Zeroes of a polynomial
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