Find the Maximum Number of Real Roots f(x)=9x^3+6x^2-7

$f (x) = 9 x^{3} + 6 x^{2} - 7$

Step 1

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

$9 x^{3} \to 3$

$6 x^{2} \to 2$

$- 7 \to 0$

Step 2

The largest exponent is the degree of the polynomial.

$3$

Step 3

The maximum number of possible roots is the degree of $9 x^{3} + 6 x^{2} - 7$ .

$3$