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

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

Step 1

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

$x^{3} \to 3$

$- 7 x \to 1$

$- 6 \to 0$

Step 2

The largest exponent is the degree of the polynomial.

$3$

Step 3

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

$3$

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