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Consider the polynomial
MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials
Problem
Consider the polynomial
p
(
x
)
=
2
x
3
−
3
x
2
+
4
x
−
5
p(x)=2x^{3}-3x^{2}+4x-5
p
(
x
)
=
2
x
3
−
3
x
2
+
4
x
−
5
. Answer the following questions. (i) Find
p
(
2
)
p(2)
p
(
2
)
. (ii) Find
p
(
−
1
)
p(-1)
p
(
−
1
)
. (iii) Using your results from parts (i) and (ii), determine whether
x
=
2
x=2
x
=
2
or
x
=
−
1
x=-1
x
=
−
1
is a zero of
p
(
x
)
p(x)
p
(
x
)
. Give reasons for your answer.
Related theory
Polynomials
Polynomial Functions
Factorisation of polynomials
Algebra
Zeroes of a polynomial
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