Despite all of the factoring techniques we learned1 in Intermediate Algebra, this equation foils2 us at every turn If we graph f using the graphing
FACTOR THEOREM A polynomial f(x) has a factor x k if and only if f(k) 0 Example 3 Factoring a Polynomial Lesson 6 5 • Algebra 2 Notetaking Guide
The aim of this unit is to assist you in consolidating and developing your knowledge and skills in working with the factor and remainder theorems It
use the factor theorem Example 1: Use long division to find the quotient and the remainder: 27 5593 ÷ Steps for Long Division: 1 2
An important consequence of the Factor Theorem is that finding the zeros of a polynomial is really the same thing as factoring it into linear factors
factoring them This will begin our algebraic study of polynomials Step 2: Since the remainder is 0, by the Remainder Theorem, we know
If we divide this factor into f(x), we'll get a quotient of degree 2 That's a quadratic polynomial and we can find its zeros either by factoring it or using
Remainder Theorem: Factor Theorem: Examples: 1 If f(x) = 2x4 – 5x2 + 8x – 7 find f(6) Use both methods, synthetic substitution and direct substitution 2
Factor Theorems Your Notes Lesson 5 5 • Algebra 2 Notetaking Gulde 2 x²+ 2x FACTOR THEOREM A polynomial f(x) has a factor xk if and only if
polynomial equation x3 + 4x2 - 5x - 14 = 0 Despite all of the factoring techniques we learned1 in Intermediate Algebra, this equation foils2 us at every turn
Algebra 2 Ch 2 5 Apply the Remainder and Factor Theorems notebook 1 August 30, 2012 Jun 289:25 PM Apply the Remainder and Factor Theorems
is very similar to what is to be done in algebra Examine the following division problems in algebra By the Remainder Theorem, the remainder is (2)
Kuta Software - Infinite Algebra 2 The Remainder Theorem Evaluate each function State if the given binomial is a factor of the given polynomial 7) (k 3 − k