+2 votes
by kratos

Identify the monomials, binomials, trinomials and quadrinomials from the following expressions:

(i) a2

(ii) a2 − b2

(iii) x3 + y3 + z3

(iv) x3+ y3+ z3 + 3xyz

(v) 7 + 5

(vi) a b c + 1

(vii) 3x – 2 + 5

(viii) 2x – 3y + 4

(ix) x y + y z + z x

(x) ax3 + bx2 + cx + d

1 Answer

+5 votes
by kratos
 
Best answer

(i) Given a2

a2 is a monomial expression because it contains only one term

(ii) Given a2 − b2

a2− b2 is a binomial expression because it contains two terms

(iii) Given x3 + y3 + z3

x3 + y3 + z3 is a trinomial because it contains three terms

(iv) Given x3+ y3+ z3 + 3xyz

x3 + y3+ z3 + 3xyz is a quadrinomial expression because it contains four terms

(v) Given 7 + 5

7 + 5 is a monomial expression because it contains only one term

(vi) Given a b c + 1

a b c + 1 is a binomial expression because it contains two terms

(vii) Given 3x – 2 + 5

3x – 2 + 5 is a binomial expression because it contains two terms

(viii) Given 2x – 3y + 4

2x – 3y + 4 is a trinomial because it contains three terms

(ix) Given x y + y z + z x

x y + y z + z x is a trinomial because it contains three terms

(x) Given ax3 + bx2 + cx + d

ax3 + bx2 + cx + d is a quadrinomial expression because it contains four terms

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