Find the Maximum Number of Real Roots f(x)=ax^2+bx+c

$f (x) = a x^{2} + b x + c$

Step 1

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$a x^{2} \to 3$

$b x \to 2$

$c \to 1$

Step 2

The largest exponent is the degree of the polynomial.

$3$

Step 3

The maximum number of possible roots is the degree of $a x^{2} + b x + c$ .

$3$

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