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Why are these not polynomial functions?

We know that a polynomial function is anything with a positive exponent and a rational number.

c) 1 / x^3 - 4

(do we use exponents to verify ?)

ie) 1^1 / x^3 -4^1

1-3 = -2 , 1-1 = 0

Therefore there is a negetive exponent on the x^3, is that why?

4d) y= 3^x-1 - 11

(how do u know this isnt?)

g) [sqrtofentireterm] 3x^3-5x

Why is that not a polynomial function?

Thnx 4 the help!

1 Answer

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  • Ian H
    Lv 7
    10 years ago
    Favorite Answer

    From WIKI

    A polynomial in variable x is an expression of finite length using only the operations of addition, subtraction, multiplication, and non-negative integer exponents.

    For example, x^2 − 4x + 7 is a polynomial,

    but x^2 − 4/x + 7x^(3/2) is not,

    because its second term involves division by the variable x

    and because its third term contains an exponent that is not a whole number.

    Now apply those rules to your examples.

    Regards - Ian

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