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in Algebraic Expressions by (64.6k points)

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any category?

(i) x+y

(ii) 1000

(iii) x+x2+x3+x4

(iv) 7+a+5b

(v) 2b-3b2

(vi) 2y-3y2+4y3

(vii) 5x-4y+3x

(viii) 4a-15a2

(ix) xy+yz+zt+tx

(x) pqr

(xi) p2q+pq2

(xii) 2p+2q

1 Answer

+1 vote
by (64.6k points)
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Best answer

(i) x+y

The given expression contains two terms x and y

∴ It is Binomial

(ii) 1000

The given expression contains one term 1000

∴ It is Monomial

(iii) x+x2+x3+x4

The given expression contains four terms

∴ It belongs to none of the categories

(iv) 7+a+5b

The given expression contains three terms

∴ It is Trinomial

(v) 2b-3b2

The given expression contains two terms

∴ It is Binomial

(vi) 2y-3y2+4y3

The given expression contains three terms

∴ It is Trinomial

(vii) 5x-4y+3x

The given expression contains three terms

∴ It is Trinomial

(viii) 4a-15a2

The given expression contains two terms

∴ It is Binomial

(ix) xy + yz + zt + tx

The given expression contains four terms

∴ It belongs to none of the categories

(x) pqr

The given expression contains one term

∴ It is Monomial

(xi) p2q+pq2

The given expression contains two terms

∴ It is Binomial

(xii) 2p+2q

The given expression contains two terms

∴ It is Monomial

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