5 ­ Notes ­ Writing Polynomials from Given Roots.notebook
March 15, 2017
Lesson 5
Writing Polynomial Functions from Given Roots
MGSE9­12.A.SSE.1b Given situations which utilize formulas
or expressions with multiple terms and/or factors, interpret the meaning (in context) of individual terms or factors. Mar 3­4:43 PM
What am I learning today?
How to write polyomials in standard form when given some of the roots
How will I show what I learned?
Write the equation for a polynomial in standard form given some of the roots
Mar 3­4:43 PM
1
5 ­ Notes ­ Writing Polynomials from Given Roots.notebook
March 15, 2017
Examples:
1. The zeros of a fifth­degree polynomial
function include ­ 5 (with a multiplicity of 3) and 3 + i. Write the equation of the function
in standard form. Mar 18­4:20 PM
6. Write a polynomial function of minimum
2.
degree in factored form with real coefficients
whose zeros include x = 1, x = 1 ­i, and x = 1 + 2i.
Mar 18­4:23 PM
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5 ­ Notes ­ Writing Polynomials from Given Roots.notebook
March 15, 2017
3.
Mar 18­4:58 PM
4. Write the simplest polynomial function with
zeros 2 + i, , and 1. Also, P(0) = ­ 45 Mar 3­4:54 PM
3
5 ­ Notes ­ Writing Polynomials from Given Roots.notebook
March 15, 2017
5. Write the simplest polynomial with zeros 2, √2, and 1 with a multiplicity of 2 and P(0) = 4
Mar 3­4:54 PM
6. Write a polynomial function in factored form of degree 3 with zeros of 1/2 and 4i with P(0) = 4. Mar 3­4:55 PM
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