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Factorise each of the following quadratic expressions completely:
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
Factorise each of the following quadratic expressions completely: (a)
6
x
2
+
13
x
+
6
6x^{2}+13x+6
6
x
2
+
13
x
+
6
(b)
5
y
2
−
14
y
+
8
5y^{2}-14y+8
5
y
2
−
14
y
+
8
(c) Using your factorised form of part (a), evaluate
6
x
2
+
13
x
+
6
6x^{2}+13x+6
6
x
2
+
13
x
+
6
for
x
=
−
3
2
x=-\dfrac{3}{2}
x
=
−
2
3
without re-expanding the factors.
Related theory
Algebraic Identities
Polynomials
Factorisation of Polynomials
Functions
Algebra
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