Question

can someone help me with this

Answer 1

Answer:

Hope it helps you!

Step-by-step explanation:

$\huge{\underline{\rm{Question-1}}}$

★ Concept:

Here, the concept of monomials is used. In this question, we want to find whether the following algebraic expressions are monomial are not.

Monomial: Algebraic expression which consist of only one term. It can either be in:

• Number
• or Variable

Let's do it!

In the given expressions, only a and b are monomials.

What about d? It is binomial, that means it consist of two terms.

Note: Monomial can't be fractional and it does not have negative exponents.

That's why the options: c,e and f are rejected.

$\huge{\underline{\rm{Question-2}}}$

★ Concept:

Here, the concept of coefficients and degree is used. We have to find the coefficients and degrees of the given algebraic monomials.

Coefficients: The number or constant value in an expression.

Degree:  Highest power in an expression.

Let's do it!

(a) Coefficient: -3 ; Degree: 1

(b) Coefficient: 6 ; Degree: 3

(c) Coefficient: 1 ; Degree: 5

(d) Coefficient: -2 ; Degree: 4

(e) Coefficient: $\frac{1}{4}$ ; Degree: 2

(f) Coefficient: $\frac{-1}{6}$ ; Degree: 3

That's it.