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Consider the polynomial .
MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials
Problem
Consider the polynomial
p
(
x
)
=
2
x
3
−
5
x
2
−
4
x
+
3
p(x)=2x^{3}-5x^{2}-4x+3
p
(
x
)
=
2
x
3
−
5
x
2
−
4
x
+
3
. (i) Verify that
x
=
3
x=3
x
=
3
is a zero of
p
(
x
)
p(x)
p
(
x
)
. (ii) Obtain the other quadratic factor of
p
(
x
)
p(x)
p
(
x
)
. (iii) Hence, factorise
p
(
x
)
p(x)
p
(
x
)
completely and state all its zeros.
Related theory
Polynomials
Factorisation of Polynomials
Polynomial Functions
Algebra
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