Question

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