Q. 24.4( 13 Votes )

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

(i) x+y

(ii) 1000

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

(iv)7+a+5b

(v) 2b-3b^{2}

(vi) 2y-3y^{2}+4y^{3}

(vii) 5x-4y+3x

(viii) 4a-15a^{2}

(ix) xy+yz+zt+tx

(x) pqr

(xi) p^{2}q+pq^{2}

(xii) 2p+2q

Answer :

(i) x+y

This expression contains two terms x and y

So, it is called ‘Binomial’

It contains one term 1000

So, it is called monomial

It contains four terms

So, it is not a monomial, binomial and trinomial

It contains three terms

So, it is called trinomial

It contains two terms

So, it is called binomial

It contains three terms

So, it is called trinomial

8x – 4y

It contains two terms

So, it is called binomial

It contains two terms

So, it is called binomial

It contains four terms

So, it is not a monomial, binomial and trinomial

It contains one term

So, it is called monomial

It contains two terms

So, it is called binomial

It contains two terms

So, it is called monomial

Rate this question :

(3q + 7p^{2} – 2r^{3} + 4) – (4p^{2} – 2q + 7r^{3} – 3) = ?

Fill in the blanks to make the statements true:

The product of two polynomials is a ………. .

NCERT - Mathematics ExemplarIf x = 10, then find the value of (4x^{2} + 20x + 25).

(2x^{2} + 3x + 1) ÷ (x + 1) = ?

Fill in the blanks to make the statements true:

The coefficient in – 37abc is …………. .

NCERT - Mathematics Exemplar(x^{2} - 4x + 4) ÷ (x - 2) = ?

Write each of the following polynomicals in the standard from. Also, write their drgree:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

RD Sharma - MathematicsWhich of the following expressions are not polynomiasl?

(i)

(ii)

(iii)

(iv)

(v)

RD Sharma - Mathematics(197 × 203) = ?

RS Aggarwal - Mathematics