Find the Maximum Number of Real Roots f(x)=4x^2-12x

$f (x) = 4 x^{2} - 12 x$

Step 1

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

$4 x^{2} \to 2$

$- 12 x \to 1$

Step 2

The largest exponent is the degree of the polynomial.

$2$

Step 3

The maximum number of possible roots is the degree of $4 x^{2} - 12 x$ .

$2$

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