Adding and Substracting Polynomials · Adding and Subtracting Polynomials What are like terms?Like...
Transcript of Adding and Substracting Polynomials · Adding and Subtracting Polynomials What are like terms?Like...
Adding and Subtracting
Polynomials
Warm-up!!
Good Morning!! Please pick up your
calculator as you walk in!
1. Classify the following polynomials (be
sure to state the degree and type):
a. x3 + x +1
b. 14
c. x2 – 14x +27
d. 4x + 15
Adding and Subtracting Polynomials
What are like terms? Like terms have the same variables with exactly the same exponents
Which of the following polynomials are like terms?
A. 2xy
B. 3ab2
C. -4a3b2
D. 17ab2
E. 9mn
You Try!! Which of the following
polynomials are like terms?
a. -5a3b5
b. 46f3
c. -85f3
d. 0.03f3g
e. 7f3
Adding Polynomials
The easiest way to add polynomials is
the vertical method.
How to use the vertical method:
Line Up Like Terms
Add the coefficients. Keep the
variables the same.
Examples
1. (4x2 + 6x +7) + (2x2 – 9x+1)
2. (x2 + x + 1) + (5x2 - 8x +20)
Examples Continued
3. (7y3 – 3y2 + 4y) + (8y4 + 3y2)
You Try!!
(7a3 – a + 3a2) + (8a2 - 3a – 4)
Subtracting Polynomials
The easiest way to add polynomials is the
vertical method. It is just like when we
added polynomials with one extra step.
How to Use Vertical Method:
1. Distribute the negative to everything in
parenthesis
2. Line up like terms
3. Add the coefficients. Keep the variables
the same.
Examples
1. (2x3 +5x2 - 3x) - (x3 - 8x2+11)
2. (6x2 -3x +1) - (x2+x -9)
Examples Continued
3. (-7z3+3z -1) - (-6z2+z+4)
You Try!!
(2x3 - 5x2 -1) - (8x3+3 - 8x2)
Gizmos: Addition of Polynomials
Log onto Gizmos and go to Unit 5. Select
Addition of Polynomials.
Follow along with the handout. When you
are finished, answer the 5 questions at the
bottom of the Gizmo and turn in your
handout to the wire basket!