Algebra Examples

Find the Maximum Number of Real Roots
f(x)=2x2+3x-4f(x)=2x2+3x4
Step 1
Identify the exponents on the variables in each term, and add them together to find the degree of each term.
2x222x22
3x13x1
-4040
Step 2
The largest exponent is the degree of the polynomial.
22
Step 3
The maximum number of possible roots is the degree of 2x2+3x-42x2+3x4.
22
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 [x2  12  π  xdx ]  x2  12  π  xdx