Polynomial Remainder Theorem: Factor Theorem & Factorization скачать в хорошем качестве

Polynomial Remainder Theorem: Factor Theorem & Factorization

In this video I go over further into the Polynomial Remainder Theorem and this time look at a special case of it, known as the Factor Theorem. Recall that the Remainder Theorem states that the remainder of a division of an univariant (single-variable) polynomial by the polynomial x – k is equal to f(a) and is a constant. A special case of this is when the remainder is equal to 0, which thus makes the polynomial x – k a factor of f(x). This means that f(k) = 0, or in other words k is a root of f(x) and x – k is a factor of f(x). This result is useful when performing factorization of polynomials in order to write them in terms of simpler, or lesser degree, polynomials. I illustrate this through a useful example as well. This is a very interesting illustration of how the factor theorem can be used to find factors of polynomials so make sure to watch this video! Video notes and playlist: PDF notes: https://1drv.ms/b/s!As32ynv0LoaIh4JBm... HIVE notes: https://peakd.com/mathematics/@mes/po... Algebra playlist:    • Algebra   Related Videos: Polynomial Remainder Theorem: Elementary Proof:    • Polynomial Remainder Theorem: Elementary P...   Polynomial Remainder Theorem: Proof + Factor Theorem:    • Polynomial Remainder Theorem: Proof + Fact...   Polynomial Long Division: (x - a) is a factor of (x^k - a^k) PROOF:    • Polynomial Long Division: (x - a) is a fac...   Euclidean Division of Polynomials: Theorem and Proof:    • Euclidean Division of Polynomials: Theorem...   Polynomials - A Simple Explanation:    • Polynomials - A Simple Explanation   Polynomial Long Division - In depth Look on why it works!:    • Polynomial Long Division - In depth Look o...   Polynomial Long Division - Examples:    • Polynomial Long Division - Examples   Factoring Quadratic Polynomials by Guessing:    • Factoring Quadratic Polynomials by Guessing   Direct Substitution for Polynomials - Simple Proof:    • Direct Substitution for Polynomials - Simp...   Polynomial Long Division: Multiple Variables:    • Polynomial Long Division: Multiple Variables   . ------------------------------------------------------ Become a MES Super Fan!    / @mes   DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps