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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?​

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JeanaShupp

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.

[tex]1)\ \ 4x^5 + 2[/tex]

Name = Binomial   (as it has two terms)

Degree= 5     (power of x)

Leading Coefficient = 4   (coefficient of [tex]x^5[/tex])

[tex]2)\ \ - 4x + 7x^3-11[/tex]

Name = trinomial  (as it has 3 terms)

Degree = 3   (highest power of x)

Leading Coefficien= 7    ( coefficient of  [tex]x^3[/tex])

[tex]3)\ \ 18x^5y^3z[/tex]

Name= Monomial  (as it has 1 term)

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

Leading Coefficient = 18

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