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Earn +20 ptsQ: What it the largest exponent of a polynomial?
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If the coefficient of the expression ax is in fraction and the exponent is positive the expression will be a polynomial?
Not necessarily. If the exponent is not an integer then it is not a polynomial.
What is the highest exponent in a polynomial?
That varies from polynomial to polynomial. Whatever the highest exponent is is called the "degree", so a quadratic like x2 + 2x + 8 has degree 2.
Can a polynomial have a variable exponent?
No. An expression can have a variable exponent (for instance, 2 to the power x, or x to the power y), but that is no longer a polynomial.
If the coefficient of the expression axn is a fraction and the exponent is positive will the expression be a polynomial?
Not necessarily. Every exponent in the exponent must be a non-negative integer. This is not what you have specified. For example, if n = 3.5, it is not a term in a polynomial expression.
If the coefficient of the expression axn is negative and the exponent is positive will the expression be a polynomial?
true
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