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

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