To factorize a Polynomial, say (x2+ 4x + 3)
What is a Polynomial?
A mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a non-negative integral power.
Concept of Linear, Quadratic and Cubic polynomial.
- A polynomial of one term is called a monomial.
- A polynomial of two terms is called a binomial.
- A polynomial of three terms is called a trinomial.
- A polynomial of degree one is called a linear polynomial.
- A polynomial of degree two is called a quadratic polynomial.
- A polynomial of degree three is called a cubic polynomial.
A polynomial may contain any number of terms, one or more than one.
- Examples of monomials: 4x 2 , 3xy, –7z, 5xy2 , 10y, –9, 82mnp, etc.
- Examples of binomials: a + b, 4l + 5m, a + 4, 5 –3xy, z 2 – 4y 2 , etc.
- Examples of trinomials: a + b + c, 2x + 3y – 5, x 2y – xy2 + y 2 , etc.
- Examples of polynomials: a + b + c + d, 3xy, 7xyz – 10, 2x + 3y + 7z, etc.
What is Factorization?
Factoring a polynomial is expressing the polynomial as a product of two or more factors..
Prerequisite for the lab:
- Concept of Area of Rectangle:
- Consider rectangle ABCD of length = a and breadth = b
- Area of rectangle ABCD = a*b
- Concept of Area of Square:
- Consider a square ABCD of side = a
- Area of square ABCD = a * a