Advanced Math
Section P.3 – Day 1
Polynomials: Addition, Subtraction, Multiplication
Definition
Monomial
Binomial
Trinomial
Polynomial
Degree of a Polynomial
Zero Degree Polynomial
Polynomial with more
than one variable
Standard Form
Leading Coefficient of a
Polynomial
Coefficients
Terms
Name:
Sept 2015
Example
Example 1: Perform the indicated operation and simplify if possible by combining like terms. Write the result in
standard form.
a.
(7𝑥 2 − 4𝑥 + 11) − (4𝑥 3 − 2𝑥 2 − 8𝑥 + 12)
b.
(4𝑥 − 7)(2𝑥 2 − 𝑥 + 3)
c.
(𝑥 2 − 2𝑥 + 1)(2𝑥 2 + 3𝑥 − 2)
Example 2: Use the FOIL method to find the indicated product. Write the result in standard form.
a.
(6𝑥 − 7)(5𝑥 + 1)
b.
(5𝑥 + 3)(5𝑥 − 3)
c.
(4𝑎 − 3𝑏)(2𝑎 + 5𝑏)
What are the binomials in Example 2b called?______________________________________________________
What happens when you multiply the type of binomials in Example 2b together?__________________________
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