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CBSE
MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials
Problem
Let
p
(
x
)
=
2
x
3
+
3
x
2
+
k
x
+
6
p(x)=2x^{3}+3x^{2}+kx+6
p
(
x
)
=
2
x
3
+
3
x
2
+
k
x
+
6
. (i) Find the value of
k
k
k
if
x
+
2
x+2
x
+
2
is a factor of
p
(
x
)
p(x)
p
(
x
)
. (ii) For the value of
k
k
k
obtained in part (i), divide
p
(
x
)
p(x)
p
(
x
)
by
x
+
2
x+2
x
+
2
and write down the quadratic quotient. (iii) Hence factorise
p
(
x
)
p(x)
p
(
x
)
completely and write all its zeros.
Related theory
Factorisation of Polynomials
Polynomials
Polynomial Functions
Functions
Solving quadratic equations
Algebra
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