Bell Work Trig CFA 1 Today Trigonometry CFA

Bell Work Trig CFA #1 Today!

Trigonometry CFA Week ▪ Trig CFA #1: Today ▪ Trig CFA #2: Wednesday ▪ Trig CFA #3: Friday

Exponential Rules Assignment ▪ Any Questions and/or Concerns?

Polynomial Fundamentals Ch. 13, Section 1

Objectives ▪ I can identify polynomials by degree and number of terms. ▪ I can add and subtract polynomials. ▪ I can multiply polynomials.

Opening ▪ We can extend our rules of exponents to even larger situations. ▪ As you have seen, we can use variables and expressions to detail numerous situations. ▪ Today, we are going to look at how we can combine our properties of exponents with expressions to open up a whole new world of mathematics.

Naming and Classifying Polynomials

Polynomial Vocabulary ▪ Before we begin the actual math, we need to learn some new vocabulary to go with it. ▪ Polynomial – mathematical expression involving the sum of powers in one or more variables, multiplied by coefficients. ▪ Coefficient – the number multiplied with the variable. ▪ Term – each portion of the polynomial expression, separated by a + or -. ▪ Degree – the greatest exponent within the polynomial.

Classifying Polynomials We can classify polynomials in 2 different ways: number of terms and degree of the polynomial. Degree 3 Constant Linear Quadratic Cubic 4 Quartic Quintic 0 1 Number of Terms 1 Name Monomial Name 2 2 Binomial 5 3 Trinomial 6 or more 4 or more Polynomial nth Degree When writing polynomials, we go from highest exponent to lowest exponent.

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Bell Work

Adding/Subtracting Polynomials ▪ When it comes to adding and subtracting polynomials, all you do is combine like terms. – Match the variables with the same powers. Notice: With subtraction problems, I would distribute the negative and make it an addition problem.

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Multiplying Polynomials ▪ How would you simplify these expressions?

Multiplying Polynomials ▪ We follow the same distribution process no matter the number of terms. We will multiply all terms in the 1 st parenthesis with everything in the 2 nd parenthesis. This is also called the FOIL method. First Outer Inner Last

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More than just Monomials and Binomials ▪ We could also use a punnet square.

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Closing