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What is a polynomial with a degree of three?
The degree of a polynomial refers to the largest exponent in the function for that polynomial. A degree 3 polynomial will have 3 as the largest exponent, but may also have smaller exponents. Both x^3 and x^3-x²+x-1 are degree three polynomials since the largest exponent is 4. The polynomial x^4+x^3 would not be degree three however because even though there is an exponent of 3, there is a higher exponent also present (in this case, 4).
What does the word degree refer to in a polynomial?
The Degree (for a polynomial with one variable, like x) is the largest exponent of that variable.
What does it mean when an exponent is a negative number?
A negative exponent is the reciprocal of the corresponding positive exponent. 102 = 100 10-2 = 1/100
Is the square root of x plus 2 a polynomial?
No. by definition, the polynomial should contain an integer as exponent and square root 1/2 is not an integer.
What is the meaning of negative exponent?
A negative exponent implies a reciprocal.Thus x^-a = 1/x^a or, equivalently, (1/x)^a
