Lesson 24 Adding Polynomials

Lesson 24 Adding Polynomials

I Can...

• Identify parts of a polynomial.

• Identify the degree of a polynomial.

• Add Polynomials

Vocabulary

• A polynomial-is a single term or the sum of two or more terms with whole-number powers.

• A coefficient is the numeric factor of a term.

• A constant term is a term that contains ONLY a number. The constant term of a polynomial is a term of degree zero.

• The degree of a term is the sum of the exponents of the variables contained in the term.

• The standard form of a polynomial is a polynomial whose terms are written in descending order of degree.

• The leading coefficient is the coefficient of a polynomial's leading term when the polynomial is written in standard form.

• Term- is a number, variable, or the product of a number and/or a variable.

Multiple Choice

Is the following statement true or false? Explain.

“All polynomials are binomials.”

• True

• False

Multiple Choice

 $5x^2+\ 4x+16$  
Select ALL of the terms of the polynomial.

•  $5x^2$  
  

•  $4x$  

•  $5x^2\ +\ 4x$  

• 16

•  $5x^2\ +\ 4x\ +16$  

Open Ended

 $a.\ 3x^{-2\ }-\ 5$ 

 $b.\ 6x\ +\ 4x^2$  

 $c.\ 15$  

 $d.\ \ 2\ +\ x^{\frac{1}{2}}$  



Select each polynomial from above. 

Poll

In the term 15x + 8, which is the coefficient?

• 15

• x

• +

• 8

Multiple Choice

Which polynomial of 3x − 5x² + 7 is written in standard form?

• 7 + 3x - 5x²

• 3x - 5x^{2 + 7}

• -5x² + 3x + 7

Fill in the Blank

________ terms in an expression are terms that have the same variable and exponent for that variable. All constants are like terms.

Multiple Choice

State whether the terms are like or unlike terms.

3y;3y

• like

• unlike

Open Ended

State whether the terms are like or unlike terms.

2x;2x²

Poll

State whether the terms are like or unlike terms.

x²y; xy²

• like

• unlike

Multiple Select

State whether the terms are like or unlike terms.

14;0.6

• alike

• unlike

Multiple Choice

(4x² + 3) + (x² − 3x + 5)

• 4x² - 3x + 8

• 4x² + 3 - 3x + 5

• 5x² + 0x + 5

• 5x² - 3x + 8

Poll

Find the sum of the polynomial.

(10y² + 8y + 6) + (17y² − 11)

• 27y⁴ + 8y - 5

• 27y² + 8y + 17

• 27y² + 8y - 5

• 27y⁴ - 3y + 6

Multiple Select

Find the sum of the polynomial.

(9x² + 15x + 21) + (−13x² − 11x − 26)

• -4x² + 4x - 5

• -22x² - 4x + 5

• -4x² -4x + 5

• 22x² + 4x + 5