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Let q(x)=(x+3)^2+(x-3)^2+kx
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
Let
q
(
x
)
=
(
x
+
3
)
2
+
(
x
−
3
)
2
+
k
x
,
q(x)=(x+3)^2+(x-3)^2+kx,
q
(
x
)
=
(
x
+
3
)
2
+
(
x
−
3
)
2
+
k
x
,
where
k
k
k
is a real constant. (i) Find the value of
k
k
k
for which
x
−
1
x-1
x
−
1
is a factor of
q
(
x
)
q(x)
q
(
x
)
. (ii) For the value of
k
k
k
obtained in part (i), factorise
q
(
x
)
q(x)
q
(
x
)
completely.
Related theory
Factorisation of Polynomials
Polynomials
Quadratic Equations
Algebra
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