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CBSE
MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials
Problem
Let
g
(
x
)
=
x
4
−
6
x
3
+
5
x
2
+
24
x
−
36
g(x)=x^{4}-6x^{3}+5x^{2}+24x-36
g
(
x
)
=
x
4
−
6
x
3
+
5
x
2
+
24
x
−
36
. (i) Verify that
x
=
2
x=2
x
=
2
and
x
=
3
x=3
x
=
3
are zeros of
g
(
x
)
g(x)
g
(
x
)
. (ii) Factorise
g
(
x
)
g(x)
g
(
x
)
completely. (iii) Determine the remaining zeros and write the product of all the zeros.
Related theory
Polynomials
Factorisation of Polynomials
Polynomial Functions
Algebra
Solving quadratic equations
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