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Mathematics
Zoie Bryan
12 February, 20:07
I don't understand the polynomials
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Jensen
12 February, 22:29
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Polynomial comes from poly - (meaning "many") and - nomial (in this case meaning "term") ... so it says "many terms"
A polynomial can have:
constants (like 3, - 20, or ½)
variables (like x and y)
exponents (like the 2 in y2), but only 0, 1, 2, 3, ... etc are allowed
that can be combined using addition, subtraction, multiplication and division ...
... except ...
... not division by a variable (so something like 2/x is right out)
So:
A polynomial can have constants, variables and exponents,
but never division by a variable.
Also they can have one or more terms, but not an infinite number of terms.
These are polynomials:
3x
x - 2
-6y2 - (79) x
3xyz + 3xy2z - 0.1xz - 200y + 0.5
512v5 + 99w5
5
(Yes, "5" is a polynomial, one term is allowed, and it can be just a constant!)
These are not polynomials
3xy-2 is not, because the exponent is "-2" (exponents can only be 0,1,2, ...)
2 / (x+2) is not, because dividing by a variable is not allowed
1/x is not either
√x is not, because the exponent is "½" (see fractional exponents)
But these are allowed:
x/2 is allowed, because you can divide by a constant
also 3x/8 for the same reason
√2 is allowed, because it is a constant ( = 1.4142 ... etc)
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