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Polynomial Fundamentals: Learn and Practice Trig CFA #1 Today!

Explore polynomial basics, from identifying to multiplying, in this Trigonometry CFA. Understand polynomial vocabulary and classification. Practice adding/subtracting and multiplying polynomials. Engage with real-world math applications.

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Polynomial Fundamentals: Learn and Practice Trig CFA #1 Today!

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  1. Bell Work Trig CFA #1 Today!

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

  3. Exponential Rules Assignment • Any Questions and/or Concerns?

  4. Polynomial Fundamentals Ch. 13, Section 1

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

  6. 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.

  7. Naming and Classifying Polynomials

  8. 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.

  9. Classifying Polynomials We can classify polynomials in 2 different ways: number of terms and degree of the polynomial. Constant Linear Quadratic Cubic Monomial Quartic Binomial Quintic Trinomial nth Degree When writing polynomials, we go from highest exponent to lowest exponent. Polynomial

  10. Try it out! • Write each expression in standard form. Then classify the polynomial by degree and term. • 2. 3. 4. Cubic Trinomial Quadratic Binomial Constant Minomial Linear Binomial

  11. Bell Work

  12. 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.

  13. Try it out • Determine the sum or difference. • 2. 3. 4.

  14. Multiplying Polynomials • How would you simplify these expressions?

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

  16. Try it out • Determine each product. • 2. 3.

  17. More than just Monomials and Binomials • Does the process change with ? We could also use a punnet square.

  18. Try it out • Determine each product. 1. 2. 28

  19. Closing

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