Question

Which of the following is not a polynomial?
a 11p-7q
b 8xy^4-5x^3y
c 2-x
d-4/y

Answer 1

exponent should not be negative

Answer 2

-4/y=-4*y^-1
so it is not polynomial as exponent is negative

Answer 3

polynomial
These are polynomials:

3x
x - 2
-6y2 - (7/9)x
3xyz + 3xy2z - 0.1xz - 200y + 0.5
512v5+ 99w5
5
(Yes, even "5" is a polynomial, one term is allowed, and it can even be just a constant!)

And 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)

source: http://www.mathsisfun.com/algebra/polynomials.html

definition: A polynomial can have constants, variables and exponents,
but never division by a variable.

Answer 4

i think its b is that right

Answer 5

a 11p-7q - polynomial, fits the above rules
b 8xy^4-5x^3y - polynomial, fits the above rules
c 2-x - polynomial, fits the above rules
d-4/y - breaks the rules "but never division by a variable."
y is a denominator, so not a polynomial

Answer 6

so its d

Answer 7

apologies for the above, this line should be
3xy^-2 is not, because the exponent is "-2" (exponents can only be 0,1,2,...)
was just -2 before, mah bad

Answer 8

it is, but do u understand why?