Seperate monomials, binomials, trinomials and polynomials from the following algebraic expressions :

$8 - 3 x, x y^{2}, 3 y^{2} - 5 y + 8, 9 x - 3 x^{2} + 15 x^{3} - 7, 3 x \times 5 y, 3 x \div 5 y, 2 y \div 7 + 3 x - 7 and 4 - a x^{2} + b x + y$

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Solution

Step: Separate monomials, binomials, trinomials and polynomials

Monomial: The expression which have only one term

Binomial: The expression which contains only two different terms.

Trinomial: The expression which contains three different terms only

Polinomial: The expression which contains more than one term

$∴$ Monomials are: $x y^{2}, 3 x \times 5 y, 3 x \div 5 y$

Binomials are: $8 - 3 x$

Trinomials are: $3 y^{2} - 5 y + 8, 2 y \div 7 + 3 x - 7$

Polinomials are: $8 - 3 x, x y^{2}, 3 y^{2} - 5 y + 8, 9 x - 3 x^{2} + 15 x^{3} - 7, 3 x \times 5 y, 3 x \div 5 y, 2 y \div 7 + 3 x - 7 and 4 - a x^{2} + b x + y$

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(e) $2 - 3 x + 5 y$ is an algebraic expression whose terms are $2, - 3 x a n d 5 y$ .

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