Question

Question 5

Define monomials, binomials, and trinomials. Classify the following into monomials, binomials and trinomials:

$\left(i\right)4y-7x$
$\left(ii\right)y^2$
$\left(iii\right)x+y-xy$
$\left(iv\right)100$
$\left(v\right)ab-a-b$
$\left(vi\right)(5-3t)$
$\left(vii\right)4p^{2}q-4p{q}^2$
$\left(viii\right)7mn$
$\left(ix\right)z^2-3z+8$
$\left(x\right)a^2+b^2$
$\left(xi\right)z^2+z$
$\left(xii\right)1+x+x^2$

Answer 1

Monomials: An expression with only one term is called monomial.
Binomial: An expression with two, unlike terms, is called a binomial.
Trinomial: An expression with three, unlike terms, is called a trinomial.

$\begin{array}{ccc}S.NO& Expression& TypeofPolynomial\\ \left(i\right)& 4y-7z& Binomial\\ \left(ii\right)& y^2& Monomial\\ \left(iii\right)& x+y-xy& Trinomial\\ \left(iv\right)& 100& Monomial\\ \left(v\right)& ab-a-b& Trinomial\\ \left(vi\right)& 5-3t& Binomial\\ \left(vii\right)& 4p^{2}q-4p{q}^2& Binomial\\ \left(viii\right)& 7mn& Monomial\\ \left(ix\right)& z^2-3z+8& Trinomial\\ \left(x\right)& a^2+b^2& Binomial\\ \left(xi\right)& z^2+z& Binomial\\ \left(xii\right)& 1+x+x^2& Trinomial\end{array}$