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POLYNOMIALS

POLYNOMIALS. What is a polynomial? 2. Find examples of 3 monomials. 3. Find examples of 3 binomials. 4. Find examples of 3 trinomials. Find examples of each of the following polynomial functions and sketch their parent graph. a. Constant function: b. Linear function:

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POLYNOMIALS

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  1. POLYNOMIALS

  2. What is a polynomial? 2. Find examples of 3 monomials. 3. Find examples of 3 binomials. 4. Find examples of 3 trinomials. Find examples of each of the following polynomial functions and sketch their parent graph. a. Constant function: b. Linear function: c. Quadratic function: d. Cubic function: e. Quartic function: Study EXAMPLE 1 on page 337. How would you characterize the degrees of polynomials? 7. Evaluate by direct substitution: Given: f(x) = 4x3 - x + 6 when x = - 2

  3. What is a polynomial? A polynomial is a monomial or a sum of monomials. 2. Find examples of 3 monomials. 3. Find examples of 3 binomials.

  4. 4. Find examples of 3 trinomials.

  5. 5. Find examples of each of the following polynomial functions and sketch their parent graph. a. Constant function: f(x) = 3 No variables because degree is 0 and anything raised to a 0 is 1. f(x) = 3x0 Graphs a POINT

  6. b. Linear function: f(x) = 3x – 2 Highest degree is : 1 Graphs a LINE c. Quadratic function: f(x) = 3x2-x + 4 Highest degree is : 2 Graphs a PARABOLA d. Cubic function: f(x) = x3-x2 + 2 Highest degree is : 3 Graphs a CURVE (snake) e. Quartic function: f(x) = x4–x2 + 4

  7. e. Quartic function: f(x) = x4–x2 + 4 Highest degree is : 4 Graphs a “ w” but if the function has no middle terms it will graph a “flatter bottomed” parabola.

  8. Study EXAMPLE 1 on page 337. How would you characterize the degrees of polynomials? Degrees of polynomials must be greater than 1. NO NEGATIVES, NO FRACTIONS. 7. Evaluate by direct substitution: Given: f(x) = 4x3 - x + 6 when x = - 2

  9. Evaluate by direct substitution: Given: f(x) = 4x3 - x + 6 when x = - 2 Replace the variable with a -2 f(-2) = 4(-2)3- (-2) + 6 DON’T TOUCH THE LEFT SIDE!!!!! f(-2) = 4(-2)3 - (-2) + 6 2. Key in right side into calculator complete with ( ). f(-2) = -24

  10. POLYNOMIALS

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