FACTORING POLYNOMIALS First determine if a common monomial factor (Greatest Common Factor) exists. Factor trees may be used to find the GCF of difficult numbers. Be aware of …

Example: 3x + 2 Example: 3x + 2 = 5x + 8 -- each term begins with the sign preceding the variable or coefficient. Monomial: - one term expression. Binomial: - two terms expression.

These examples illustrate an important feature of polynomial multiplica-tion: If you multiply some polynomials together, no matter how many poly-nomials, you can find the leading term of the …

Polynomial functions are often used to model various natural phenomena, such as the shape of a mountain, the distribution of temperature, the trajectory of projectiles, etc.

We will illustrate all of these cases with examples, and will show the relationship between the nature and number of zeros of Q(x) and the x-intercepts (if any) on the graph.

5.1A Polynomials: Basics Definition of a Polynomial polynomial is a combination of terms containing numbers and variables raised to positive (or zero) whole number powers. Examples …

When evaluating polynomials, it is often useful to consider when they evaluate to certain xed numbers. Because we can shift the polynomial, we can assume that this xed number is 0.

To graph a polynomial function, fi rst plot points to determine the shape of the graph’s middle portion. Then connect the points with a smooth continuous curve and use what you know …

Adding and subtracting polynomials is the same as the procedure used in combining like terms. When adding polynomials, simply drop the parenthesis and combine like terms. When …

It follows from the Fundamental Theorem of Algebra that a cubic poly-nomial is either the product of a constant and three linear polynomials, or else it is the product of a constant, one linear …