Polynomial Operations

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:

$$(x^5+x^3)-(6x-x^3+6x^5)$$  

• $$7x^5-6x$$
  
  

• $$-5x^5+2x^3-6x$$  

• $$x^8+x^3$$  

• $$-5x^5-6x^5$$  
  

• $$x^8+36x^9$$