Chapter 5: Factorization (35 videos)
Introduction
Factorization plays an important role in mathematics as it helps to reduce the study of a complicated expression to the study of simpler expressions. In this unit we will deal with different types of factorization o polynomial.
Factorization
If a polynomials p(x) can be expressed as p(x)=g(x)h(x), then each of the polynomials g(x) and h(x) is called a factor of p(x). For instance, in the distribution property.
ab+ac=a(b+c)
a and (b+c) are factors of (ab+ac)
When a polynomial has been writen as a product consistin only of prime factors, then it is said to be factored completely.
(a) factorization of thr Expression of the type ka + kb +kc
Example
Factorize 5a - 5b +5c
| 5.2: Remainder Theorem and Factor Theorem |
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| 1. Remainder Theorem |
| 2. Problem 1: Remainder Theorem |
| 3. Factor Theorem |
| 4. Problem 1: Factor Theorem |
| 5. Problem 2: Factor Theorem |
| 6. Zero of Polynomial & Concept of Factor |
| 7. Problem 1: Zero of Polynomial & Concept of Factor |
| 5.3: Factorization of a Cubic Polynomial |
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| 1. Factoring Cube Polynomial |
| 2. Problem 1: Factoring Cube Polynomial |
