Find the Maximum Number of Real Roots x^3+4x^2-3x-18

$x^{3} + 4 x^{2} - 3 x - 18$

Step 1

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

$x^{3} \to 3$

$4 x^{2} \to 2$

$- 3 x \to 1$

$- 18 \to 0$

Step 2

The largest exponent is the degree of the polynomial.

$3$

Step 3

The maximum number of possible roots is the degree of $x^{3} + 4 x^{2} - 3 x - 18$ .

$3$