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Consider the polynomial .
MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials
Problem
Consider the polynomial
h
(
x
)
=
2
x
4
−
3
x
3
−
9
x
2
+
8
x
+
12
h(x)=2x^{4}-3x^{3}-9x^{2}+8x+12
h
(
x
)
=
2
x
4
−
3
x
3
−
9
x
2
+
8
x
+
12
. (i) Show that
x
=
2
x=2
x
=
2
is a zero of
h
(
x
)
h(x)
h
(
x
)
. (ii) Factorise
h
(
x
)
h(x)
h
(
x
)
completely without using a calculator. (iii) List all the zeros of
h
(
x
)
h(x)
h
(
x
)
and indicate how many times each zero occurs in the factorisation.
Related theory
Polynomials
Factorisation of Polynomials
Polynomial Functions
Functions
Binomial theorem
Algebra
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