POLYNOMIALS
PolynomialsA polynomial looks like this:
example of a polynomialthis one has 3 terms
It can be made of:
constants (like 3, -20, or ½)
variables (like x and y)
exponents (like the 2 in y2) but they can only be 0, 1, 2, 3, ... etc
That can be combined using:
+ - ×
addition, subtraction and multiplication, ...
... but not division!
Those rules keeps polynomials simple, so they are easy to work with!
Polynomials or Not?
These are polynomials:
3x
x - 2
3xyz + 3xy2z - 0.1xz - 200y + 0.5
And these are not polynomials
2/(x+2) is not, because dividing is not allowed
3xy-2 is not, because the exponent is "-2" (exponents can only be 0,1,2,...)
But this is allowed:
x/2 is allowed, because it is also (½)x (the constant is ½, or 0.5)
also 3x/8 for the same reason (the constant is 3/8, or 0.375
example of a polynomialthis one has 3 terms
It can be made of:
constants (like 3, -20, or ½)
variables (like x and y)
exponents (like the 2 in y2) but they can only be 0, 1, 2, 3, ... etc
That can be combined using:
+ - ×
addition, subtraction and multiplication, ...
... but not division!
Those rules keeps polynomials simple, so they are easy to work with!
Polynomials or Not?
These are polynomials:
3x
x - 2
3xyz + 3xy2z - 0.1xz - 200y + 0.5
And these are not polynomials
2/(x+2) is not, because dividing is not allowed
3xy-2 is not, because the exponent is "-2" (exponents can only be 0,1,2,...)
But this is allowed:
x/2 is allowed, because it is also (½)x (the constant is ½, or 0.5)
also 3x/8 for the same reason (the constant is 3/8, or 0.375
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