Question

Classify into monomials, binomials and trinomials.
Y square , x+y-xy, 7mn, 4y -7z, z square-3z+8,a2+b2, z2, 1+x+x, 4psquare q-4pq square, 100, ab-a-b,z square + z​

Answer 1

Answer:

Monomials = y square, 7mn, z2, 100.

Binomials = 4y - 7z, a2 + b2, 4p square q - 4pq square, z square + z.

Trinomials = x + y - xy, z square - 3z + 8, 1 + x + x, ab - a - b.

Hope it helps u !!!!!!!!

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Answer 2

Question :-

To classify the following as monomials, binomials or trinomials

1. y²
2. x + y - xy
3. 7mn
4. 4y - 7z
5. z² - 3z + 8
6. a² + b²
7. z²
8. 1 + x + x
9. 4p² + q - 4pq²
10. 100
11. ab - a - b
12. z² + z

Answer :-

What are monomials, binomials and trinomials?

• Expressions in algebra which have only one term are said to be monomials
• Expressions which have 2 terms are said to be binomial
• Expressions containing 3 terms are called as trinomials

The number of terms are separated by a (+) or a (-) sign.

Question 1 : y²

Here the only term is y². Hence, this expression is a monomial

Question 2 : x + y - xy

In this question, there are two signs (+) and (-) respectively separating the three terms. x,y and -xy are three separate terms. This expression is a trinomial

Question 3 : 7mn

The expression does not contain the signs (+) and (-). This expression is monomial.

Question 4 : 4y - 7z

The expression contains the sign (-) separating the two terms. The expression is a binomial.

Question 5 : z² - 3z + 8

There are two signs in the question (+) and (-) respectively. This expression is thus a trinomial having the terms z², -3z and 8 respectively.

Question 6 : a² + b²

The question contains two terms as the sign (-) is there. a² and b² are the two terms.

Question 7 : z²

The expression has only one term. Hence it's a monomial.

Question 8 : 1 + x + x

x is occurring twice. By adding the terms, we get 2x.

The expression formed will be : 1 + 2x.

Therefore, the expression is a binomial.

Question 9 : 4p² + q - 4pq²

The question contains 3 terms separated by the signs (+) and (-) respectively. The terms are 4p², q and -4pq².

Question 10 : 100

The expression contains only one term. Hence it's a monomial.

Question 11 : ab - a - b

In this question, the terms are ab, -a and -b respectively. The sign (-) is separating them. Hence this expression is a trinomial.

Question 12 : z² + z

The sign (+) is occurring. The terms are z² and z. Hence this expression is a binomial