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Polynomials Course

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Mathematics

Lessons no : 11

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What will you learn in this course?
  • Identify and define key polynomial terminology including terms, degree, standard form, monomial, binomial, and trinomial concepts
  • Classify polynomials into monomials, binomials, trinomials, and other types based on their terms and degree
  • Apply methods to simplify polynomial expressions and convert them into standard form for solving equations
  • Solve polynomial equations of degrees 1 and 2 using inspection, factoring, and quadratic formula techniques
  • Determine the number of roots and solutions expected for different polynomial degrees and types
  • Factor polynomials by finding rational roots and applying division techniques such as synthetic or long division
  • Use polynomial division to simplify expressions and find roots or factors efficiently
  • Solve polynomial equations step-by-step, including putting equations in standard form and identifying roots

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Lessons | 11

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Polynomials Course Description

Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers common terminology like terms, degree, standard form, monomial, binomial and trinomial.What are the 4 types of polynomials? Polynomials are of different types. Namely, Monomial, Binomial, and Trinomial.How do you solve polynomials? Step by Step If solving an equation, put it in standard form with 0 on one side and simplify. [ ... Know how many roots to expect. [ ... If you're down to a linear or quadratic equation (degree 1 or 2), solve by inspection or the quadratic formula. [ ... Find one rational factor or root. ... Divide by your factor.