a 7y2 + V8+ 9
b 21:4 + z3 + 2z2 + 3
c 9x5y6 + 4x²y3 – 17xy
d lla-b7 + 5a466 – 5a264 + 4ab - 25
Solution a 2 b 4 c 11 d 10
Linear polynomial
A polynomial of degree 1 is called a linear
polynomial. For example,
3x + 7, x + 4y, and x+y+ 3
7
is called a polynomial.
A polynomial is an algebraic expression in which
variables have non-negative integer exponents on
The degree of a polynomial of one variable is the
highest value of the exponent of the variable.
• The degree of a polynomial of more than one
variable is the highest value of the sum of the
exponents of the variables in different terms.
Exercise 6A
1 Which of the following expressions are polynomials?
2
a x2 + 7x + 12
b x3 + x
e 4x-3 – x2 + x + 3 f 4x - y-1
g 7x?y? – 5xy
C
13
d 5
ALGEBRA
h x2 + 4x3 - +1
5 +x+3
j x?y2 + y2z2 + z2x2
1
k 3x²
I ry
x y - 4xy
x
y
mx? + VX-9
1 2 + 3
O x2 +
+1
76
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