6th Grade Math Textbook, Fundamentals

Lesson 14-1 for exercise sets. &KDSWHU 

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Classify each expression as monomial, binomial, or trinomial.

Then give its degree.

1.c^3  17 2.m^2 n^3 p^4 3.abc

Evaluate each expression for x4 and y2.

4.(xy)^2 5.xy^2 6.x^3 yxyy

7.Discuss and Write Find the meanings of the prefixes poly-, mono-, bi-, and

tri- in a dictionary. Explain how these meanings help you understand the

meanings of the words polynomial, monomial, binomial, and trinomial.

Then find other math words that contain these prefixes.

Classify the polynomial a^3 b^2 + a^2 babas a monomial,

binomial, or trinomial, and give its degree. Then evaluate it

for a2 and b4.

a^3 b^2 + a^2 bab

a^3 b^2 + a^2 bab(2)^3 (4)^2 + (2)^2 (4) – (2)(4) Substitute 2 for aand 4 for b.

(8)(16) (4)(4) (2)(4) Evaluate exponents.

 128  16  8 Multiply from left to right, and simplify.

 104 Add from left to right.

So a^3 b^2 a^2 bab is a trinomial, and its degree is 5.

The value of the polynomial is 104 fora2 and b4.

trinomial

1

A polynomial with one variable is in when

its terms are in order from greatest degree to least degree.

Because the degrees descend from greatest to least, this is

also called.

Polynomials with more than one variable are often written

in descending order for oneof the variables. You can choose

one variable that will be written in descending order.

• 3z^3  2 z^2 z99 is in descending order. (There is only one variable, z.)


• x^3 y^2  2 x^2 y^3  3 xis in descending order for x. (There are 2 variables, xand y.)

To evaluate a polynomial, substitute the assigned value for each variable,

and then simplify. Be sure to follow the order of operations when

performing the computations.

descending order

standard form

degree 5