Can A Polynomial Not Have An Exponent

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Can A Polynomial Not Have An Exponent
Can A Polynomial Not Have An Exponent


Can A Polynomial Not Have An Exponent - Can A Polynomial Not Have An Exponent, Can A Polynomial Have No Exponents, Does A Polynomial Need An Exponent, Does A Polynomial Have To Have An Exponent, Do All Polynomials Have Exponents

Polynomials in one variable are algebraic expressions that consist of terms in the form a x n where n is a non negative i e positive or zero integer and a is a real

Polynomials cannot contain negative exponents You cannot have 2y 2 7x 4 Negative exponents are a form of division by a variable to make the negative exponent positive you have to divide For example x 3 is the

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While a polynomial can appear in many different ways there are some rules about what is not considered a polynomial A polynomial is NOT An equation which contains division by a variable An equation that contains negative

It would be obvious from the definition we ve given that sqrt x which could be written as x frac 1 2 is not a polynomial because the exponent is not an integer But

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On the page Fundamental Theorem of Algebra we explain that a polynomial will have exactly as many roots as its degree the degree is the highest exponent of the polynomial So we know one more thing the degree is 5 so there are 5

If c is a constant and x is a variable we d say that f x x c is a polynomial function of order c Conversely the function f x c x would be called an exponential function Is

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Polynomials cannot contain negative exponents You cannot have 2y 2 7x 4 Negative exponents are a form of division by a variable to make the negative exponent positive you have to divide For example x 3 is the

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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

Polynomials cannot contain negative exponents You cannot have 2y 2 7x 4 Negative exponents are a form of division by a variable to make the negative exponent positive you have to divide For example x 3 is the

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

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