Examples

Find the Maximum Number of Real Roots
f(x)=x7-5x+6f(x)=x75x+6
Step 1
Identify the exponents on the variables in each term, and add them together to find the degree of each term.
x77
-5x1
60
Step 2
The largest exponent is the degree of the polynomial.
7
Step 3
The maximum number of possible roots is the degree of x7-5x+6.
7
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 [x2  12  π  xdx ]