Operations on Polynomials

Operations on Polynomials

EQ: How do I work with polynomials to rewrite expressions and solve problems?

Vocab to know:

• Coefficient & variable

• Monomial, binomial, trinomial, polynomial

• Degree of a monomial/term

• Degree of a polynomial

• Standard form of a polynomial

Multiple Choice

Which word best describes the -7 in the polynomial?

• coefficient

• variable

• monomial

• polynomial

• degree

Multiple Choice

Which word best describes the 5 in the polynomial?

• coefficient

• variable

• monomial

• term

• degree

Multiple Choice

Which word best describes the expression as a whole?

• binomial

• quadratic

• monomial

• polynomial

• exponential

Multiple Select

Select all statements that are true of this expression.

• The degree is 5

• It is a trinomial

• It is a polynomial

• The expression is in standard form.

• The lead coefficient is -7

What's the distributive property again?

Three ways to look at the distributive property.

Multiple Choice

Write the area of the large rectangle, created by the two smaller rectangles.

• 
  

   $Area=x+8$  
  

•  $Area=2x+16$  

•  $Area=2x+19$  

•  $Area=3x+15$  

•  $Area=3x+5$  

Multiple Choice

Simplify:
 $3(2c-5)$  

•  $6c-15$  

•  $6c+15$  

•  $6c+15$  

•  $-6c-15$  

•  $5c-2$  

Multiple Choice

Simplify:
 $(b+8)5$  

•  $b+40$  

•  $b^5+8^5$  

•  $5b+40$  

•  $5b+8$  

•  $b+13$  

Multiple Choice

Simplify:
 $-(8-m)$  

•  $-m+8$ 
  

•  $-8-m$  

•  $8-m$  

•  $m+8$  

•  $m-8$  

LT: I can combine like terms to simplify polynomials.

Multiple Choice

Simplify:

 $(-3x+4)+(8x-5)$  

•  $5x-9$  

•  $5x-1$  

•  $11x-1$  

•  $11x-9$  

•  $11x+9$  
  

Multiple Choice

Simplify:

 $(2x+5y-z)+(-6x-4y+7z)$  

•  $3xyz$  

•  $-12x-20y-7z$  

•  $-4x-y+6z$  

•  $-4x+y+6z$  

•  $8x+9y+8z$  
  

Multiple Choice

Simplify:

 $(4a^3-8a-4a^2)+(7a^3-7-6a)$  

•  $28a^3-56a+24a^2$  
  

•  $11a^3-15a-10a^2$  
  

•  $11a^3-4a^2-14a-7$  
  

•  $28a^6-56a+24a^3$  
  

•  $8a^6-6a^4$  

Multiple Choice

Simplify:

 $(2x+5y)-(3x-2y)$  

•  $-x+3y$  

•  $-x+7y$  

•  $5x+7y$  

•  $6xy$  
  

•  $6x^2-10y^2$  

Multiple Choice

Simplify:

 $(4n^4-8n+4)-(8n^2+4n^4+1)$ 

•  $-8n^2-8n+3$  

•  $-4n^4-12n+3$  
  

•  $3$  

•  $-12n-3$  
  

•  $8n^4-8n^2-8n+3$  

Multiple Choice

Simplify:

 $(x^5+x^3)-(6x-x^3+6x^5)$  

•  $7x^5-6x$ 
  
  

•  $-5x^5+2x^3-6x$  

•  $x^8+x^3$  

•  $-5x^5-6x^5$  
  

•  $x^8+36x^9$