Question

1. Classify the following polynomials as monomials, binomials, trinomials.

i) -Z+5 ii) x + y + z iii) y+z+100 iv) ab-ac v) 17​

Answer 1

Answer :-

$\bigstar$Polynomial :- A polynomial is defined as an expression that contain variables, constants and Expression .

$\purple F \purple o \purple r \: \purple e \purple x \purple a \purple m \purple p \purple l \purple e$:-

x^2 + x - 12

$\bigstar$Monomials :- Monomials are those polynomials which contain only one term.

$\purple F \purple o \purple r \: \purple e \purple x \purple a \purple m\purple p \purple l \purple e \:$

5xy^2

$\bigstar$Binomials :- Binomials are those polynomials which contain two terms

$\purple F \purple o \purple r \ \purple e \purple x\purple a \purple m\purple p\purple l \purple e$:-

x + 100

$\bigstar$Trinomials :- Trinomials are those polynomials which contain three terms .

$\purple F\purple o\purple r\: \purple e\purple x\purple a\purple m\purple p\purple l\purple e$:-

x + y + 100

Classify the following polynomials :-

1) -z + 5 = Binomial

[ It contains two terms -z and 5 ]

2) x + y + z = Trinomial

[ It contains three terms x, y and z ]

3) y + z + 100 = Trinomial

[ It contains three terms y, z and 100 ]

4) ab - ac = Binomial

[ It contains two terms ab and ac ]

5) 17 = Monomial

[ It contains only one term that is 17 ]

Answer 2

$\large \underbrace{ \sf{\color{magneta} {Answer\;:}}}$

1)-z+5 =>Binomial

2)x+y+z =>Trinomials

3)y+z+100 =>Trinomials

4)ab-ac =>Binomial

5)17 =>Monomials

What are Monomials, Binomials, Trinomials and polynomials:-

Monomial:- Expression that contains only one term is called monomial

Examples:- 4x^2,3xy,10y

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Binomials:- Expression that contains two terms is called a Binomial

Examples:- a+b, 4l+5m,a+4

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Trinomials:- Expression containing three terms is called Trinomials

Examples:- a+b+c, 2x+3y-5

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Polynomial:- An expression that containing, one or more terms with non- zero coefficient is called polynomials..

Examples:- a+b+c+d, 2x+3y+7z