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Section 2.1

Section 2.1. Polynomials. Polynomials. Polynomials- in terms of x is an expression that can be written in the form: USUALLY WRITE POLYNOMIALS IN DECENDING ORDER! Example:. Polynomials. Leading Term: The term containing the highest power of x

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Section 2.1

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  1. Section 2.1 Polynomials

  2. Polynomials • Polynomials- in terms of x is an expression that can be written in the form: • USUALLY WRITE POLYNOMIALS IN DECENDING ORDER! • Example:

  3. Polynomials • Leading Term: The term containing the highest power of x • Leading Coefficient: The coefficient of the leading term • Degree: The degree of the polynomial is the power of x in the leading term. Leading Term Degree Leading Coefficient

  4. Special Named Polynomials

  5. Are they Polynomials?

  6. Roots of Polynomials • Polynomials are often referred to as P(x) • P(x)=0 is a root of the equation, also called: • Zero of the function • X-Intercepts • Example: Find the zeros of the function:

  7. Is f a polynomial? • Tell whether it is a polynomial • Give each value of x for which f is undefined • Give the zeros of f

  8. Polynomials • We can substitute not only numbers, but also variable expressions into polynomials. • Find p(2) and p(-3n)

  9. SYNTHETIC SUBSTITUTION • 1. Write in descending order. • 2. Fill in 0’s where an x term is missing • 3. Start with the leading coefficient • 4. Multiply by the value of x & add to next coefficient • 5. Repeat step 4 until last coefficient is reached. • EXAMPLE 3: Pg 55 • FIND P(2) if

  10. EXAMPLE #3b Pg. 55 • Find S(-2) if

  11. Meet with your 5 O’Clock APPT. • IN CLASS EXCERCISES • Pg. 55 (1-8, & 9-13odd)

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