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POLYNOMIALS REVIEWObjectives: Add, Subtract, and Multiply Polynomials
Which is equivalent to x8?
a. (x3)(x5)b. (x3)5
c. (3x)(5x)d. (x2)(x4)/x21
STANDARDIZED TEST PRACTICE
REVIEW
Write an example of the 5 monomial rules. Product Rule Quotient Rule Power to a Power Rule Zero Exponent Rule Negative Exponent Rule.
Give the problem to your neighbor to simplify.
Check each other’s answers
CLASS WORK
Monomial Rules
POLYNOMIALS IN SCIENCEScientist can use algebraic expressions to summarize the possible outcomesIn genetic breeding. Certain traits result from the pairing of two genes, oneFrom the female parent and one from the male parent. See the example below.
WHAT IS A POLYNOMIAL?
A polynomial is a monomial or sum of monomials
Examples: Non Examples:
AM I A POLYNOMIAL?
4 3 3221
7
9 3
x y x
x
UNDER WHAT CONDITIONS CAN POLYNOMIALS BE ADDED OR SUBTRACTED
example 1
2 2(4 3 ) ( 2 1)x x x x
UNDER WHAT CONDITIONS CAN POLYNOMIALS BE ADDED OR SUBTRACTED
example 2
3 2 2 3 4(4 3 10 ) (8 2 )x x x x x x x
NOW YOU TRY.
Create 3 of your own practice problems. Each problem has to have an answer with at
least 3 different terms. Pass the problems your neighbor to
complete. Give them back to be corrected Each pair has to turn in 6 complete problems.
YOU TRY:
1. (3r + s) – (r – s) – (r + 3s)
2. (-12y – 6y2) + (-7y + 6y2)
3. (10x2 – 3xy + 4y2) – (3x2 + 5xy)
4. (c2 – 6cd – 2d2) + (7c2 – cd + 8d2)
5. (4x2 – 3y2 + 5xy) – (8xy + 6x2 + 3y2)
YOU TRY: ANSWERS
1. (3r + s) – (r – s) – (r + 3s)
2. (-12y – 6y2) + (-7y + 6y2)
3. (10x2 – 3xy + 4y2) – (3x2 + 5xy)
4. (c2 – 6cd – 2d2) + (7c2 – cd + 8d2)
5. (4x2 – 3y2 + 5xy) – (8xy + 6x2 + 3y2)
WHICH OPERATION?
Addition/subtraction Multiplication
ONE PROBLEM … 3 METHODS
2(4 5)( 2)x x
ONE PROBLEM … 3 METHODS
2(4 5)( 2)x x
ONE PROBLEM … 3 METHODS
2(4 5)( 2)x x
ROUND ROBINIn groups of three.
ROUND ROBIN
1. (3r + s)(r – s) FOIL
2. (-12y – 6y2)(-7y + 6y2) Boxes
3. (10x2 + 4y2)(3x2 + 5) Distribute
4. (c2 – 2d2)(7c2 – 8d2) FOIL
5. (4x2 – 3y2)(8xy + 6x2 + 3y2) Boxes
6. (3x3 – 5x2 +6x)(x2 – 7) Distribute
ROUND ROBIN - ANSWERS
1. 3r2 - 2rs – s2
2. 84y2 – 30y3 – 36y4
3. 30x4 + 50x2 + 12x2y2 + 20y2
4. 7c4 – 22c2d2 + 16d4
5. 24x4 + 32x3y – 6x2y2 – 24xy3 -9y4
6. 3x5 – 5x4 – 15x3 + 35x2 – 42x
TICKET OUT THE DOOR
1.a and 1.b