Question

Identify each polynomial as either a monomial binomial or trinomial. Then state the degree and leading coefficient.

1) 4x^5 + 2
Name?
Degree?
Leading Coefficient?

2) - 4x + 7x^3-11
Name?
Degree?
Leading Coefficient?

3) 18x^5y^3z
Name?
Degree?
Leading Coefficient?​

Answer 1

Answer with explanation:

• Monomial = Polynomial with one term.
• Binomial = Polynomial with two terms.
• Trinomial = Polynomial with three terms.
• Degree - highest power of variable
• Leading coefficient - Coefficient of the variable or variables with highest power.

`1)\ \ 4x^5 + 2`

Name = Binomial (as it has two terms)

Degree= 5 (power of x)

Leading Coefficient = 4 (coefficient of
`x^5`)

`2)\ \ - 4x + 7x^3-11`

Name = trinomial (as it has 3 terms)

Degree = 3 (highest power of x)

Leading Coefficien= 7 ( coefficient of
`x^3`)

`3)\ \ 18x^5y^3z`

Name= Monomial (as it has 1 term)

Degree= 5+3+1= 9 [Addition of power of all variables]

Leading Coefficient = 18