Find the Maximum Number of Real Roots f(x)=4x^11-20x^7-15x+14

$f (x) = 4 x^{11} - 20 x^{7} - 15 x + 14$

Step 1

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

$4 x^{11} \to 11$

$- 20 x^{7} \to 7$

$- 15 x \to 1$

$14 \to 0$

Step 2

The largest exponent is the degree of the polynomial.

$11$

Step 3

The maximum number of possible roots is the degree of $4 x^{11} - 20 x^{7} - 15 x + 14$ .

$11$