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Gyaan Maths
CBSE · Class 6-12
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Class 9 · Ganita Manjari
Unit 2 · Class 9Ganita Manjari
Introduction to Linear Polynomials
Polynomials — definition, types, evaluation, zeros.
Lessons
3 concepts
1
Polynomial Types
Constant
=
a
0
= a_0
=
a
0
(degree 0). Linear
=
a
x
+
b
= ax+b
=
a
x
+
b
(degree 1). Quadratic
=
a
x
2
+
b
x
+
c
= ax^2+bx+c
=
a
x
2
+
b
x
+
c
. Cubic
=
a
x
3
+
b
x
2
+
c
x
+
d
= ax^3+bx^2+cx+d
=
a
x
3
+
b
x
2
+
c
x
+
d
.
2
Finding Zeros
For linear: set
a
x
+
b
=
0
ax+b=0
a
x
+
b
=
0
⇒
x
=
−
b
/
a
x = -b/a
x
=
−
b
/
a
. This is a single zero. Its geometric meaning: intercept with
x
x
x
-axis.
3
Value at a Point
Substitute the value into the polynomial and evaluate.
p
(
2
)
p(2)
p
(
2
)
means replace every
x
x
x
with
2
2
2
.
Skills to practise
Skill · medium
Introduction to Linear Polynomials — Practice