Algebra Examples

$f (x) = x^{5} + x^{1} + x^{3} + x^{4}$

Step 1

Simplify.

$f (x) = x^{5} + x + x^{3} + x^{4}$

Step 2

Move $x$ .

$f (x) = x^{5} + x^{3} + x^{4} + x$

Step 3

Move $x^{3}$ .

$f (x) = x^{5} + x^{4} + x^{3} + x$

Step 4

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

$x^{5} \to 5$

$x^{4} \to 4$

$x^{3} \to 3$

$x \to 1$

Step 5

The largest exponent is the degree of the polynomial.

$5$

Step 6

The maximum number of possible roots is the degree of $x^{5} + x^{4} + x^{3} + x$ .

$5$