Question

⭐ flow chart ⭐

⏪polynomial⏩


⭕ class 9th ⭕

Answer 1

Polynomials :-
# Division of polynomials
# Factorisation
# Terms, coefficient, variables
# Factor theorem
# Remainder theorem


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Good Day !!

Answer 2

Polynomials = Poly (means many) + nomials (means terms). Thus, a polynomial contains many terms
Thus, a type of algebraic expression with many terms having variables and coefficients is called polynomial.
Example: 3x3x, 5y2+2x+55y2+2x+5, and 2x2+22x2+2
Let us consider another example, 2x2+22x2+2 in this ‘x’ is called variable.
Power of ‘x’, i.e. 2 is called exponent.
Multiple of ‘x’, i.e. 2 is called coefficient.
The term ‘2’ is called constant.
And all items are called terms.
Let us consider another example: 5x2+2x+55x2+2x+5
In this there are two variables, i.e. x and y. Such polynomials with two variables are called Polynomials of two variables
Power of x is 2. This means exponent of x is 2.
Power of y is 1. This means exponent of y is 1.
The term ‘5’ is constant.
There are three terms in this polynomial


Types of Polynomial:

Monomial – Algebraic expression with only one term is called monomial.
Example: 2x,2,5x,3y2x,2,5x,3y, etc.
Binomial: Algebraic expression with two terms is called binomial.
Example: 2x+2,3y2+5,3m+32x+2,3y2+5,3m+3, etc.
Trinomial – Algebraic expression with three terms is called trinomial.
Example: 3x+3y+2,5y2+2y+23x+3y+2,5y2+2y+2, etc.
But algebraic expressions having more than two terms are collectively known as polynomials.