5.5 Apply the Remainder and Factor Theorems

Aug 16, 2023

100 likes | 113 Views

This homework assignment explores the concepts of the Remainder and Factor Theorems, and how they can be used to solve algebraic equations and factor polynomials. Students will practice applying these theorems to find remainders, roots, and factors of various polynomial expressions.

Share Presentation

Embed Code

reynoldsa

Download Presentation

5.5 Apply the Remainder and Factor Theorems

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

5.5 Apply the Remainder and Factor Theorems

HW 5.5

Remainder and Factor Theorems

Remainder and Factor Theorems. REMAINDER THEOREM. Let f be a polynomial function. If f ( x ) is divided by x – c , then the remainder is f ( c ). Let’s look at an example to see how this theorem is useful.

408 views • 4 slides

Polynomials: The Remainder and Factor Theorems

= remainder = P (- 2) . Polynomials: The Remainder and Factor Theorems. The remainder theorem states that if a polynomial, P ( x ), is divided by x – c, then the remainder equals P ( c ).

583 views • 4 slides

2.4 Dividing polynomials; Remainder and Factor Theorems

2.4 Dividing polynomials; Remainder and Factor Theorems. Use long division to divide polynomials. Use synthetic division to divide polynomials. Evaluate a polynomials using the Remainder Theorem. Use the Factor Theorem to solve a polynomial equation.

832 views • 12 slides

Dividing Polynomials; Remainder and Factor Theorems

Dividing Polynomials; Remainder and Factor Theorems. Objectives. Use long division to divide polynomials. Use synthetic division to divide polynomials. Evaluate a polynomials using the Remainder Theorem. Use the Factor Theorem to solve a polynomial equation.

347 views • 12 slides

5.4 – Apply the Remainder and Factor Theorems

5.4 – Apply the Remainder and Factor Theorems. Divide 247 / 3 8829 / 8 . 5.4 – Apply the Remainder and Factor Theorems. When you divide a polynomial f(x) by a divsor d(x), you get a quotient polynomial q(x) and a remainder polynomial r(x). f(x) / d(x) = q(x) + r(x)/d(x)

284 views • 13 slides

2-3 The Remainder and Factor Theorems

2-3 The Remainder and Factor Theorems. Chapter 2 Power, Polynomial, and Rational Functions. Warm-up. Describe end behavior using limits. Determine the zeros and state the multiplicity of any repeated zeros Find a few additional points, and .

379 views • 17 slides

6.5: The Remainder and Factor Theorems

6.5: The Remainder and Factor Theorems. Objectives: Students will be able to…. Divide polynomials using long division and synthetic division Determine factors of a polynomial using the factor and remainder theorems Find all zeros of a polynomial. . Dividing Polynomials.

933 views • 18 slides

9.8 Day 1 – Remainder and Factor Theorems

9.8 Day 1 – Remainder and Factor Theorems. Use synthetic division to divide by : . 1. 2. . Note : When using synthetic division if you have a remainder of zero, then is a factor of the polynomial!

223 views • 10 slides

2.5 Remainder and factor Theorems

2.5 Remainder and factor Theorems. Using theorems to factor polynomials. Remainder Theorem. If a polynomial f(x) is divided by x-k , then the remainder r = f(k)

208 views • 7 slides

Remainder and Factor Theorems

Remainder and Factor Theorems. The Remainder Theorem. If a polynomial f(x) is divided by x-a, the remainder is the constant f(a), and Dividend=quotient *divisor +remainder Where is a polynomial with degree one less than the degree of f(x). The Remainder Theorem.

1.07k views • 8 slides

5.5C-Remainder & Factor Theorems

5.5C-Remainder & Factor Theorems. BELL RINGERS 1.) What are the SOLUTIONS of (x-2)(X+3) 2.) What are the FACTORS if the solutions are 0, 7 and -4 ? 3.) Find the FACTORS and SOLUTIONS of A) B). Remainder & Factor Theorems.

276 views • 8 slides

The Remainder and Factor Theorems

The Remainder and Factor Theorems. When you divide a Polynomial f(x) by a divisor d(x), you get a quotient polynomial q(x) with a remainder r(x) written: f(x) = q(x) + r(x) d(x) d(x). The degree of the remainder must be less than the degree of the divisor!.

348 views • 18 slides

The Remainder and Factor Theorems

The Remainder and Factor Theorems. Check for Understanding 2.3 – Factor polynomials using a variety of methods including the factor theorem, synthetic division, long division, sums and differences of cubes, and grouping. The Remainder Theorem. If a polynomial f(x) is divided by (x – a),

2.64k views • 23 slides

The Remainder and Factor Theorems

The Remainder and Factor Theorems. The Remainder Theorem. If a polynomial f(x) is divided by (x – a), the remainder is the constant f(a), and f(x) = q(x) ∙ (x – a) + f(a) where q(x) is a polynomial with degree one less than the degree of f(x).

301 views • 15 slides

Section 3.3 Dividing Polynomials; Remainder and Factor Theorems

Section 3.3 Dividing Polynomials; Remainder and Factor Theorems. Long Division of Polynomials and The Division Algorithm. Long Division of Polynomials. Long Division of Polynomials. Long Division of Polynomials with Missing Terms.

516 views • 25 slides

2.5 – Apply the remainder and factor theorems

2.5 – Apply the remainder and factor theorems. Coach Bianco. Unit 2.5 – Apply the remainder and factor theorems. Georgia Performance Standards:

266 views • 11 slides

7.4 The Remainder and Factor Theorems

7.4 The Remainder and Factor Theorems. Use Synthetic Substitution to find Remainders. A review of Synthetic Substitution. Synthetic Division a method of dividing polynomials using the coefficients of the divided polynomial and its divisor. Synthetic Division definition.

456 views • 20 slides

2.5 Apply the Remainder and Factor Theorems p. 120

2.5 Apply the Remainder and Factor Theorems p. 120. How do you divide polynomials? What is the remainder theorem? What is the difference between synthetic substitution and synthetic division? What is the factor theorem?.

469 views • 27 slides

The Remainder and Factor Theorems

The Remainder and Factor Theorems. 6.5 p. 352. When you divide a Polynomial f(x) by a divisor d(x), you get a quotient polynomial q(x) with a remainder r(x) written: f(x) = q(x) + r(x) d(x) d(x). The degree of the remainder must be less than the degree of the divisor!.

388 views • 19 slides

Section 2.4 Dividing Polynomials; Remainder and Factor Theorems

Section 2.4 Dividing Polynomials; Remainder and Factor Theorems. Long Division of Polynomials. Long Division of Polynomials. Long Division of Polynomials with Missing Terms.

382 views • 21 slides

Lesson 11-2 Remainder & Factor Theorems

Lesson 11-2 Remainder & Factor Theorems. Objectives Students will: Use synthetic division and the remainder theorem to find P(r) Determine whether a given number is a root of P(x) Determine whether x – r is a factor of P(x) and solve P(x) = 0. P(x) = 5x 4 + 4x 3 + 3x 2 + 2x + 1

179 views • 4 slides

The Remainder and Factor Theorems

204 views • 15 slides

More Related

5.5 Apply the Remainder and Factor Theorems

5.5 Apply the Remainder and Factor Theorems

Presentation Transcript

Remainder and Factor Theorems

Polynomials: The Remainder and Factor Theorems

2.4 Dividing polynomials; Remainder and Factor Theorems

Dividing Polynomials; Remainder and Factor Theorems

5.4 – Apply the Remainder and Factor Theorems

2-3 The Remainder and Factor Theorems

6.5: The Remainder and Factor Theorems

9.8 Day 1 – Remainder and Factor Theorems

2.5 Remainder and factor Theorems

Remainder and Factor Theorems

5.5C-Remainder &amp; Factor Theorems

The Remainder and Factor Theorems

The Remainder and Factor Theorems

The Remainder and Factor Theorems

Section 3.3 Dividing Polynomials; Remainder and Factor Theorems

2.5 – Apply the remainder and factor theorems

7.4 The Remainder and Factor Theorems

2.5 Apply the Remainder and Factor Theorems p. 120

The Remainder and Factor Theorems

Section 2.4 Dividing Polynomials; Remainder and Factor Theorems

Lesson 11-2 Remainder &amp; Factor Theorems

The Remainder and Factor Theorems

5.5C-Remainder & Factor Theorems

Lesson 11-2 Remainder & Factor Theorems