pretty sure a third degree polynomial is just one that has a term to the power of 3
eg. x3 + 4x2 + 3x + 5
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6x+5b+3, see related link for a thorough explanation of what a polynomial is.
A "root" of a polynomial is any value which, when replaced for the variable, results in the polynomial evaluating to zero. For example, in the polynomial x2 - 9, if you replace "x" by 3, or by -3, the resulting expression is equal to zero.
fundamental difference between a polynomial function and an exponential function?
Assuming you mean a fourth degree polynomial,P4 = x4 + 1P3 = x3 + 1P4*P3 = x7 + x4 + x3 + 1 is a seventh degree polynomial.
It can: For example, the linear polynomial 2x + 4 can be factorised into 2 times (x+2) So the question is inappropriate.