Functions
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Mastery Objectives
Student should be able to... | Videos |
Survey | IXL Practice |
Answer Keys |
Classifying and Simplifying Polynomial Expressions
Graphing Polynomial Functions
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classify a polynomial by degree and number of terms.
simplify a polynomial and write it in standard form.
add, subtract and multiply polynomials.
sketch a polynomial function with the correct zeros & end behavior.
write an equation of a polynomial function from a table or graph given its zeros.
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Polynomial Modeling
LaGrange Interpolation |
write a polynomial equation for any set of given points (ordered pairs). | 
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Linear Regression | use the graphing calculator to determine a polynomial regression model for a data set.
use a regression model to predict within the data set.
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Dividing Polynomials
Long Division
Synthetic Division
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divide polynomials using long division.
divide polynomials using synthetic division (when possible).
determine if a polynomial is a factor of another polynomial.
solve polynomial equations given one of its solutions.
determine the remainder when any polynomial is divided by a linear polynomial. |
Why synthetic division works? |
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Quiz Review
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Factoring by Grouping
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factor polynomials by grouping if possible.
factor the sum and difference of cubes.
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Binomial Theorem
| use the binomial theorem expand a binomial expression raised to a positive integer power.
identify terms of a binomial expansion without determining the entire expansion.
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Fundamental Theorem of Algebra
Rational Root Theorem |
identify the number of complex roots of any polynomial equation.
identify the possible rational roots of any polynomial equation.
determine all rational roots of any polynomial equation. |
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| Fundamental Theorem of Algebra
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Irrational Root Theorem Non-Real Root Theorem
| identify the congujate roots of a polynomial equation when applicable.
recognize that any polynomial equation with non-real roots must have an even number of non-real roots. |
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Conjugate Root Theorems
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 | Applications
| determine a polynomial model for a contextualized problem (ex/ volume).
use a graphing calculator to identify extrema, zeros or other significant values when a "real-life situation" can be modeled by a polynomial function.
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Test Review
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