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Warm up Use synthetic division to divide (4x3 – 3x2 + 2x + 1)/ (x – 1) (x3 – x2 – 6)/(x + 2)
Dividing a polynomial by a monomial(4y5 – 6y4 + 12y3 – 8y2) / (4y2)
Dividing a polynomial by a polynomial using long division(6x2 + x – 2)/ (2x – 1)
Dividing a polynomial by a polynomial using synthetic division(2t2 + 13t + 15)/ (t + 5)
Factor by grouping x3 + x2 – x – 1
Factor by grouping 2x3 – 3x2 – 2x + 3
Sum and difference of two cubes
Factor the following x y3 – 125
Factor the following 4x5 – 32x2 2x7 + 54x4
Factor theorem The expression x-a is a linear factor of a polynomial if and only if the value a is a zero of the related function. --How do you find out if a is a zero of the function?
Factor theorem Is -2 a zero of the following function?Y = x3 + x2 – 2x
Factor theorem Is -5 a zero of the following function?Y = x3 + 9x2 + 15x -25
Factor theorem Is 3 a zero of the following function?If yes then find the other remaining zeros Y = x3 - 9x2 + 27x – 27
Write a polynomial function in standard form with the given zerosX = 5, 6, 7 X = -2, 0, 1
Write a polynomial function in standard form with the given zerosX = -5, -5, 1 X = 3,3,3
A POLYNOMIAL is a monomial or a sum of monomials.
5.3 Division of Polynomials. Dividing a Polynomial by a monomial. Divide each term of the polynomial by the monomial.
6.3 Dividing Polynomials. Warm Up Without a calculator, divide the following Solution:
Unit 3 Practice Test Review. 1a) List all possible rational zeros of this polynomial: 5x 4 – 31x x 2 – 31x + 6 p 1, 2, 3, 6 q 1, 5 p 1, 2,
5.5 Apply the Remainder and Factor Theorem
Warm Up Factor each expression. 1. 3x – 6y 3(x – 2y) 2. a2 – b2
Warm Up Factor each expression. 1. 3x – 6y 2. a 2 – b 2 3. (x – 1)(x + 3) 4. (a + 1)(a 2 + 1) x 2 + 2x – 3 3(x – 2y) (a + b)(a – b) a 3 + a 2 + a + 1 Find.
Homework Lesson 2.3 Read: Pages Page 127: #1-61 (EOO)
Objectives Use the Factor Theorem to determine factors of a polynomial. Factor the sum and difference of two cubes.
EXAMPLE 1 Find a common monomial factor Factor the polynomial completely. a. x 3 + 2x 2 – 15x Factor common monomial. = x(x + 5)(x – 3 ) Factor trinomial.
Dividing Polynomials & The Remainder Theorem. Dividing Polynomials When dividing a polynomial by a monomial, divide each term in the polynomial by the.
Section 2-2 Synthetic Division; The Remainder and Factor Theorems.
Factor Theorem Using Long Division, Synthetic Division, & Factoring to Solve Polynomials.
Warm Up no 0, 3 x = -3. Homework Questions Section 2.2 Synthetic Division; The Remainder and Factor Theorems Objective: To use synthetic division and.
Dividing Polynomials SYNTHETIC DIVISION AND LONG DIVISION METHODS.
Algebra II Explorations Review ( ) Day Divide using LONG Division. Show all work. Answer:
WARM UP. Homework Q’s Dividing Polynomials using Synthetic Division EQ: How is Long Division utilized to divide a polynomial functions? Assessment:
a. b. To simplify this process, we can use a process called division. Synthetic division works when dividing a polynomial by. To get started, make.
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