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a plynomials is an algebraic expression where each of the terms is
a CONTANT, a VARIABLE with a positive integral exponent or a product of contants
and variable of form
EXP: since a rational algebraic expressions is a fraction,we must be cureful
5 5x-7 that the denominator is not zero.Thus 5
x 125x-7 -----, x must not be equal
------- 4- x
2 to 4 ;in x + 2
5x x-y -----, x must not to be equal to 0 and in x -3x
x ------, x must not to be equal to y.
y- x
non polynomials:
2x+2
5 x+2 √5x 2√x-1 3 3(x + 2)(x - 4) =(2x+)(x - 44)
--- ------ ----- -------------
4-x x √x-1 (x + 2)
THE DEGREE OF A POLYNOMIAL is defined to be the sumof the exponents of the variables involved.The degree of the term
2x3y
is,Thus,4.Simalarly, the degree of,
10a2b3c
A non - zero constant polynomial has degree 0.The zero polynomial
has no degree.
3rd degree in a
5th degree in b
2nd degree in c
6th degree in a and b
7th degree in b and c
4th degree in a and c
8th degree in a,b,and c.
Thes degree if the polynomial is 8.
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