Algebra Examples

$p (c) = - 15 c (c - 8)$

Step 1

Apply the distributive property.

$p (c) = - 15 c \cdot c - 15 c \cdot - 8$

Step 2

Multiply $c$ by $c$ by adding the exponents.

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Step 2.1

Move $c$ .

$p (c) = - 15 (c \cdot c) - 15 c \cdot - 8$

Step 2.2

Multiply $c$ by $c$ .

$p (c) = - 15 c^{2} - 15 c \cdot - 8$

Step 3

Multiply $- 8$ by $- 15$ .

$p (c) = - 15 c^{2} + 120 c$

Step 4

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

$- 15 c^{2} \to 2$

$120 c \to 1$

Step 5

The largest exponent is the degree of the polynomial.

$2$

Step 6

The maximum number of possible roots is the degree of $- 15 c^{2} + 120 c$ .

$2$