The
Given graph is 4 points called
X , Х'
Y , Y'
(a) liner polynomial
(b)Quadratic polynomial
(c) cubic polynomial
(d)Quadric polynomial
Answers
Step-by-step explanation:
A linear polynomial is a polynomial of degree one, i.e., the highest exponent of the variable is one.
Some examples:
p
(
x
)
:
2
x
+
3
q
(
y
)
:
π
y
+
√
2
r
(
z
)
:
z
+
√
5
s
(
x
)
:
−
7
x
We note that a linear polynomial in one variable can have at the most two terms. In general, a linear polynomial in one variable will be of the form:
p
(
x
)
:
a
x
+
b
,
a
≠
0
The constraint that a should not be equal to 0 is required because if a is 0, then this becomes a constant polynomial. Why do we use the adjective linear? It turns out that when we draw the graph corresponding to a linear polynomial, we will get a straight line – hence the name linear.
Solved Example:
Example 1: Is
1
x
a linear polynomial?
Solution: In general form, we can write it as
1
x
−
1
+
0
. Clearly, the degree of this polynomial is not one, it is not a linear polynomial.
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