Today we learned how to interpret characteristics of a polynomial given function notation find the value of "k" in a polynomial given a factor. The video of the notes is below: Video: Finding the value of "k" in a polynomial notes:
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Today we learned how to find all the roots of a 4th degree polynomial given a complex root. We also reviewed how to find all zeros given the factored form of an equation. Then we learned how to write the equation of a polynomial given the roots. The videos of the notes are below. Video #1: Finding all roots given a complex root notes, page 1: Video #2: Writing equations of polynomials given the roots notes, page 2: Today we learned that both imaginary (complex) roots and irrational roots ALWAYS come in pairs. We learned how to find all POSSIBLE rational roots. Then we learned how to use either a graphing calculator or Desmos (either Desmos.com or the app on your cellphone) to find the actual rational roots. The videos of the notes are below. Video #1: Rational Root Theorem notes, page 1: Video #2: Rational Root Theorem notes, page 2: Video #3: Rational Root Theorem notes, page 3: Video #4: Rational Root Theorem notes, page 4: Today we learned how to find all roots of a higher degree polynomial given at least 1 root. The videos of the notes are below. Video #1: Finding all roots given 1 root: Video #2: Finding all roots of polynomial given 2 roots notes, page 2: Today we learned how to determine some characteristics of polynomial graphs from factored form: x-intercepts, multiplicity, if the polynomial degree is even or odd and if the leading coefficient is positive or negative. The videos of today's notes are below. Video #1: Multiplicity notes, page 1: Video #2: End behavior notes, page 2: Today we reviewed how to factor trinomials when the "a" value is NOT 1. We also reviewed solving after factoring. The video of the notes is below. Video: Factoring trinomials when "a" does NOT equal 1 (and solving from factored form) notes: Today we learned how to factor higher order trinomials in the pattern: x^2n + x^n + c. We also reviewed factoring by grouping. The videos of today's notes are below. Video #1: Factoring a trinomial in pattern: x^2n + x^n + c notes, page 1: Video #2: Review of factoring by grouping notes, page 2: Today we reviewed how to factor a difference of perfect squares and learned a new way to factor them. We also learned how to factor a sum & difference of perfect cubes and how to factor using "u - substitution". The videos of the notes are below. Video #1: Factoring a difference of perfect squares notes, page 1: Video #2: Factoring a sum or difference of perfect cubes notes, page 2: Video #3: Factoring using u-substitution: Today we learned how to determine if two functions are inverses. The videos of the notes are below. Video #1: Determining if two functions are inverses notes, page 1: Video #2: Determining if two functions are inverses notes, page 2: Today we learned how to find inverses of functions. The videos of the notes are below. Video #1: Inverse notes, page 1: Video #2: Inverse notes, page 2: |
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October 2021
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