Examples

Find the Maximum Number of Real Roots
f(x)=5x2+6f(x)=5x2+6
Step 1
Identify the exponents on the variables in each term, and add them together to find the degree of each term.
5x225x22
6060
Step 2
The largest exponent is the degree of the polynomial.
22
Step 3
The maximum number of possible roots is the degree of 5x2+65x2+6.
22
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 [x2  12  π  xdx ]  x2  12  π  xdx  
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