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Polynomial Algebra
Polynomial Algebra
Polynomial Algebra
Adding, Subtracting, and Multiplying
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Polynomial Algebra
Polynomial Algebra
Adding, Subtracting, and Multiplying
Slide 1 - Slide
What do you already know about
Polynomials?
Slide 2 - Mind map
Review on Polynomials
What is a Polynomial?
An expression containing an unknown or variable raised to a series of positive whole number exponents.
Example: 2x
2
+ 4x + 10 = 0
Slide 3 - Slide
Types of Polynomials
Terms should be arranged
from highest exponent
power to lowest exponent
power in a decreasing
order.
Slide 4 - Slide
Drag the functions to their correct category
Monomial
Binomial
Trinomial
2x
x
2
+ 2x -1
2x-1
x
3
+2x
- 1
x
2
-1
x
Slide 5 - Drag question
Parts of a Polynomial
Slide 6 - Slide
Adding Polynomials
When adding polynomials
it is important to combine
like terms.
For example, you will add the
coefficients in front of the like
terms x
2
. Continue this process
with the other variables as shown.
Slide 7 - Slide
Let's give it a try...
What is (x^2+4x+1) + (4x^2-2)?
Slide 8 - Open question
Subtracting Polynomials
An important difference between
adding and subtracting
polynomials: Make sure to
DISTRIBUTE the negative to each
term in the polynomial. This will
change the signs. Then combine
like terms and solve.
Slide 9 - Slide
Try it out...
What is (4x-3) - (2x^2+4x-8)?
Slide 10 - Open question
Multiplying Polynomials
When multiplying polynomials,
use the FOIL method to
distribute and multiply.
When multiplying terms
with exponents, multiply
the coefficients and add the
exponents.
Slide 11 - Slide
Test your knowledge...
What is (-4x^3-x^2)(8x^2-9)?
Slide 12 - Open question
Slide 13 - Slide
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