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Show that and are zeros of the polynomial and hence factorise completely.
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
Show that
x
=
3
x=3
x
=
3
and
x
=
−
2
x=-2
x
=
−
2
are zeros of the polynomial
P
(
x
)
=
2
x
3
−
4
x
2
−
10
x
+
12
P(x)=2x^3-4x^2-10x+12
P
(
x
)
=
2
x
3
−
4
x
2
−
10
x
+
12
and hence factorise
P
(
x
)
P(x)
P
(
x
)
completely.
Related theory
Polynomials
Factorisation of Polynomials
Polynomial Functions
Algebra
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