Polynomials - Factor Theorem - Finding an unknown coefficient - Exam-Style Question 1

Web Reference: Because of the strict definition, polynomials are easy to work with. For example we know that: So we can do lots of additions and multiplications, and still have a polynomial as the result. Also, polynomials of one variable are easy to graph, as they have smooth and continuous lines. Example: x4−2x2+x. smooth the curve is? In advanced mathematics, polynomials are used to construct polynomial rings and algebraic varieties, which are central concepts in algebra and algebraic geometry. The word polynomial joins two diverse roots: the Greek poly, meaning "many", and the Latin nomen, or "name". What are Polynomials? Polynomials are mathematical expressions made up of variables and constants by using arithmetic operations like addition, subtraction, and multiplication.

YouTube Excerpt: Given one of a polynomial's factors, we learn how to use the factor theorem to find one of its unknown coefficient. This is a common exam-style question when studying polynomial functions and the factor and remainder theorems. The method is clearly explained with some worked examples.

Given one of a polynomial's factors, we learn how to use the factor theorem to find one of its unknown coefficient. This is a common exam-style...

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