Polynomials-Characteristics and Operations
Presentation
•
Mathematics
•
9th - 11th Grade
•
Medium
Standards-aligned
Bethany Braun
Used 211+ times
FREE Resource
25 Slides • 22 Questions
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Polynomials-Operations
Review Polynomials---what they are and how to add-subtract-multiply and divide them
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Writing answers in standard form:
Write each monomial in descending exponent order. The highest exponent will be first & the constant term (the one without a variable) is last.
Look at the examples====>
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Multiple Choice
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Multiple Choice
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Degree & Name of a polynomial
Degree: Write the polynomial in standard from first, the degree of the polynomial will be the degree of the 1st term (has the highest exponent value)!
Study the chart for degree & common names ====>
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Multiple Choice
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Multiple Choice
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Classify by number of terms:
You probably recognize these!
Study the chart ====>
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Multiple Choice
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Multiple Choice
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Multiple Choice
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Leading Coefficient & Constant Term
Look at the chart ===>
The leading coefficient is the number in front of the highest degree variable.
The constant is the number without a variable.
Write in standard form 1st to make these easy to identify!
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The CONSTANT here is 0!
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Multiple Choice
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Multiple Choice
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Adding Polynomials
Add like terms!
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Like terms have:
Same variables with same exponents!
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You can add like terms vertically!
Some find this an easier way to get their answer.
Like-terms are written under each other and then added down.
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Multiple Choice
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Multiple Choice
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Subtracting Polynomials
Distribute the negative and rewrite the 2nd polynomial.
Then lose the parentheses and combine like terms.
You can also line them up vertically and add down!
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DISTRIBUTING THE (-) IS THE SAME AS MULTIPLYING BY -1 !
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Here is the same problem done vertically
Distribute the (-) by multiplying each term by -1. Then add down to get:
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Multiple Choice
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Multiple Choice
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Multiplying
Polynomials
Here are the types of problems you'll need to be able to answer
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To multiply by a MONOMIAL, just distribute
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Binomial x Binomial
Distribute twice using FOIL or a
BOX. Here is the Box method ==>
Put the terms on the outside of a box and multiply. Add like terms on the diagonal.
You might have done this in Biology with Punnett Squares!
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Binomial x Trinomial
Distribute each term in one expression.
Draw a 2 x 3 box to use the Box method.
Remember to write your answer in standard form!
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Multiple Choice
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Multiple Choice
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Multiple Choice
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Multiple Choice
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Multiple Choice
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Binomial Squared?
Write the binomial TWICE and multiply (FOIL or Box).
Do NOT square each term!!!
Notice you get a trinomial.
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Multiple Choice
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Multiple Choice
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Multiply 3 binomials:
FOIL the first 2. Multiply the result by the last binomial.
The Box method is shown for the last steps. ====>
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Here's another example:
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DIVIDING by a monomial
Divide each term by the monomial on the bottom. Then reduce each fraction.
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Another example:
Each term on top is divided by x.
Reduce the fractions by subtracting the exponents!
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Multiple Choice
Divide the polynomial by the monomial.
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Multiple Choice
Divide the polynomial by the monomial.
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Polynomials-Operations
Review Polynomials---what they are and how to add-subtract-multiply and divide them
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