Question

Classify the following as monomial, binomial, trinomial,linear,quadratic and cubic

polynomials

(i) y3

+ y (ii) 2x2

+ 3x – 1 (iii) z2

(iv) 9x3

(v) y + 1 (vi) x2

+ √3 (vii) 3x3

– 2x2

+ 4x – 2

(viii) 6 – y

2

(ix) √3z + 7 (x) 4x
​

Answer 1

Answer:

i cubic, binomial

ii quadratic, trinomial

iii quadratic, monomial

iv cubic, monomial

v linear, binomial

vi quadratic, binomial

vii cubic, polynomial

viii quadratic, binomial

ix linear, binomial

x linear, monomial

Answer 2

The equations have been classified as follows:

(i) y3 + y - cubic, binomial

(ii) 2x2 + 3x – 1- quadratic, trinomial

(iii) z2- quadratic, monomial

(iv) 9x3- cubic, monomial

(v) y + 1 - linear, binomial

(vi) x2+ √3-  quadratic, binomial

(vii) 3x3– 2x2 + 4x – 2- cubic, polynomial

(viii) 6 – y2- quadratic, binomial

(ix) √3z + 7 - linear, binomial

(x) 4x- linear, monomial

• Monomial expression refers to an expression that consists of one term.

• Binomial expression refers to an expression that consists of two terms associated with addition or subtraction.

• Trinomial expression refers to an expression that consists of three terms associated with addition or subtraction.

• Linear equations have a degree one, quadratic equations have a degree two(highest power is 2) and cubic equations have a degree three( highest power is 3).