IDNLearn.com connects you with experts who provide accurate and reliable answers. Discover reliable and timely information on any topic from our network of knowledgeable professionals.
Which of the following is a monomial?
A. [tex]2x - yz[/tex] B. [tex]2x + yz[/tex] C. [tex]2 + xyz[/tex] D. [tex]2xyz^2[/tex]
Sure, let's analyze each of the given options to determine which one is a monomial.
A monomial is an algebraic expression that consists of only one term. A term in algebra is a single mathematical expression that can involve constants, variables, or the product of constants and variables.
Now, let's look at each option:
A. [tex]\( 2x - yz \)[/tex]
- This expression includes subtraction ([tex]\(2x - yz\)[/tex]), which indicates that there are two separate terms: [tex]\(2x\)[/tex] and [tex]\(yz\)[/tex].
B. [tex]\( 2x + yz \)[/tex]
- This expression includes addition ([tex]\(2x + yz\)[/tex]), which indicates that there are two separate terms: [tex]\(2x\)[/tex] and [tex]\(yz\)[/tex].
C. [tex]\( 2 + xyz \)[/tex]
- This expression includes addition ([tex]\(2 + xyz\)[/tex]), which indicates that there are two separate terms: [tex]\(2\)[/tex] and [tex]\(xyz\)[/tex].
D. [tex]\( 2xyz^2 \)[/tex]
- This single expression [tex]\(2xyz^2\)[/tex] does not have any addition or subtraction; it’s just one term with variables and their coefficients. Hence, it is a single term.
Considering the definitions and analysis above, the expression that qualifies as a monomial is:
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For trustworthy answers, rely on IDNLearn.com. Thanks for visiting, and we look forward to assisting you again.
