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Everything on POLYNOMIALS AND FUNCTIONS
Rating: 4.8 out of 5(8 ratings)
1,807 students

Everything on POLYNOMIALS AND FUNCTIONS

Learn by solving hundreds of practice problems
Created byAriana Morales
Last updated 7/2020
English
English [Auto],

What you'll learn

  • The student would learn about polynomials and functions in a interactive way by solving practice problems

Course content

2 sections • 13 lectures • 1h 59m total length

  • Multiplication of polynomials13:14

    Apply the distributive property to multiply polynomials and collect like terms, then arrange the result in descending powers to reinforce exponent rules and practice polynomial product steps.

  • Long division of polynomials14:04

    Perform polynomial long division with step-by-step examples to obtain the quotient and remainder, then express the result as quotient plus remainder over the denominator.

  • Squared binomials4:40

    This lecture applies binomial square and binomial cube formulas, including the difference of cubes, with worked expansions like (x-1)^2, (6x+2)^2, (5y-3x)^2, and (3y-5x)^2.

  • Difference of cubes5:10

    Learn to factor cubes, including the difference of cubes, using a^3 ± b^3 and the identities (a ± b)(a^2 ∓ ab + b^2), then factor 125x^3 + 64 as (5x+4)(25x^2−20x+16).

  • Binomial cubed7:25

    Apply the binomial cube formula to expand (a ± b)^3, practice parsing terms and signs, and master the sum and difference of cubes through worked examples.

  • Rational root theorem16:38

    Apply the rational root theorem to list candidates from factor pairs of the constant term and leading coefficient, then verify actual roots with synthetic division.

  • Binomial expansion using Pascal's Triangle8:36

    Learn to perform binomial expansion with Pascal's triangle, identify coefficients from each row, assign decreasing powers, and expand expressions with positive and negative terms.

  • Quadratic formula12:43

    Apply the quadratic formula to find the roots of quadratic equations by identifying a, b, and c, computing the discriminant, and simplifying roots such as -1 ± sqrt(2).

Requirements

  • The requirement for this course is Algebra

Description

This course is designed to help students practice the topics of polynomials and functions.

It provides exercises to help you navigate the topics of polynomials and functions in the class of Pre Calculus, while at the same time helps you reinforce concepts in Algebra.

If you take this course you will master the topics if:

-Arithmetic operations using polynomials (multiplication and long division of polynomials)

-Factorization (difference of perfect squares, greatest common factor, AC method, etc)

-Binomial expansion (Squared binomial, cubed binomial, Pascal's triangle etc.)

-Quadratic formula

-Parent functions

-Function transformation

-Rational functions

-Reciprocal transformation

-Composite functions

-Inverse functions

Who this course is for:

  • Algebra, Pre calculus, and calculus students

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