Question

classify the
following polynomial into monomials , animals and trinomials : 4 p ^ q ^ , 2a + 4c , 5ab , 7xy^ +4x^y​

Answer 1

Answer:

Since x+yx+y contains two terms. Therefore it is binomial.

(ii) Since 1000 contains one term. Therefore it is monomial.

(iii) Since x+x^2+x_{ }^3+x^4x+x

2

+x

3

+x

4

contains four terms. Therefore it is a polynomial and it does not fit in the above three categories.

(iv) Since 7+y+5x7+y+5x contains three terms. Therefore it is trinomial.

(v) Since 2y-3y^22y−3y

2

contains two terms. Therefore it is binomial.

(vi) Since 2y-3y^2+4y^32y−3y

2

+4y

3

contains three terms. Therefore it is trinomial.

(vii) Since 5x-4y+3xy5x−4y+3xy contains three terms. Therefore it is trinomial.

(viii) Since 4x-15z^24x−15z

2

contains two terms. Therefore it is binomial.

(ix) Since ab+bc+cd+da contains four terms. Therefore it is a polynomial and it does not fit in above three categories.

(x) Since pqr contains one terms. Therefore it is monomial.

(xi) Since p^2q+pq^2p

2

q+pq

2

contains two terms. Therefore it is binomial.

(xii) Since 2p+2q contains two terms. Therefore it is binomial.