Question

I need help in Algebra1 cp with the terms in this picture

Answer 1

Polynomial : Yes

Degree: 1

Terms: 1

Name: Monomial

Explanation:

Polynomial is an expression consisting of

• Variables
• Coefficients
• Its operations are addition, subtraction, multiplication
• It has non-negative integer exponents of variables
• The degree of the polynomial is the highest degree of any of the terms

Examples:

3x² ⇒ 2nd degree monomial (greatest exponent is 2 and it has 1 term)

2x - 5 ⇒ 1st degree binomial (greatest exponent is 1 and it has 2 terms)

3x (7x³ - 2x² + 5) ⇒ 4th degree trinomial (greatest exponent is 4 and it has 3 terms)

Now let us solve the problem

∵ The expression is
`(3x)/(7)`

- Re-write
`(3x)/(7)` as
`(3)/(7)x`

∴ The coefficient is
`(3)/(7)` and the variable is x

∵ The expression has coefficient and variable with non-negative

integer exponent

∴ The expression is polynomial

∵ The exponent of the variable x is 1

∴ The degree of the polynomial is 1

∵ There is no operations in the polynomial

∴ The polynomial has 1 term

∵ The polynomial of one term called monomial

∴ It is monomial