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A cubic polynomial satisfies and
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
A cubic polynomial
p
(
x
)
p(x)
p
(
x
)
satisfies
p
(
1
)
=
0
p(1)=0
p
(
1
)
=
0
and
p
(
−
3
)
=
0
p(-3)=0
p
(
−
3
)
=
0
. Explain why
(
x
−
1
)
(
x
+
3
)
(x-1)(x+3)
(
x
−
1
)
(
x
+
3
)
must be a factor of
p
(
x
)
p(x)
p
(
x
)
.
Related theory
Factorisation of Polynomials
Polynomials
Polynomial Functions
Algebra
Zeroes of a polynomial
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