Algebra Examples

$y = x^{4} - 2 x^{3} - 11 x^{2} + 12 x + 36$

Step 1

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

$x^{4} \to 4$

$- 2 x^{3} \to 3$

$- 11 x^{2} \to 2$

$12 x \to 1$

$36 \to 0$

Step 2

The largest exponent is the degree of the polynomial.

$4$

Step 3

The maximum number of possible roots is the degree of $x^{4} - 2 x^{3} - 11 x^{2} + 12 x + 36$ .

$4$