algebra 1 notes: lesson 8-5: adding and subtracting polynomials
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Algebra 1 Notes:
Lesson 8-5:Adding and Subtracting
Polynomials
Mathematics Standards- Number, Number Sense and Operations: Explain the
effects of operations such as multiplication or division, and of computing powers and roots on the magnitude of quantities.
- Patterns, Functions and Algebra: Add, subtract, multiply and divide monomials and polynomials.
- Patterns, Functions and Algebra: Simplify rational expressions by eliminating common factors and applying properties of integer exponents.
- Patterns, Functions and Algebra: Solve real-world problems that can be modeled using linear, quadratic, exponential or square root functions.
Example 1
Find (7y2 + 2y – 3) + (2 – 4y + 5y2).
Example 1
Find (7y2 + 2y – 3) + (2 – 4y + 5y2).
(7y2 + 2y – 3) + (2 – 4y + 5y2)
12y2
Example 1
Find (7y2 + 2y – 3) + (2 – 4y + 5y2).
(7y2 + 2y – 3) + (2 – 4y + 5y2)
12y2
Example 1
Find (7y2 + 2y – 3) + (2 – 4y + 5y2).
(7y2 + 2y – 3) + (2 – 4y + 5y2)
12y2
Example 1
Find (7y2 + 2y – 3) + (2 – 4y + 5y2).
(7y2 + 2y – 3) + (2 – 4y + 5y2)
12y2 – 2y
Example 1
Find (7y2 + 2y – 3) + (2 – 4y + 5y2).
(7y2 + 2y – 3) + (2 – 4y + 5y2)
12y2 – 2y
Example 1
Find (7y2 + 2y – 3) + (2 – 4y + 5y2).
(7y2 + 2y – 3) + (2 – 4y + 5y2)
12y2 – 2y
Example 1
Find (7y2 + 2y – 3) + (2 – 4y + 5y2).
(7y2 + 2y – 3) + (2 – 4y + 5y2)
12y2 – 2y – 1
Example 1
Find (7y2 + 2y – 3) + (2 – 4y + 5y2).
(7y2 + 2y – 3) + (2 – 4y + 5y2)
12y2 – 2y – 1
Example 2
Find (6y2 + 8y4 – 5y) – (9y4 – 7y + 2y2).
Example 2
Find (6y2 + 8y4 – 5y) – (9y4 – 7y + 2y2).
-y4
Example 2
Find (6y2 + 8y4 – 5y) – (9y4 – 7y + 2y2).
-y4 + 4y2
Example 2
Find (6y2 + 8y4 – 5y) – (9y4 – 7y + 2y2).
-y4 + 4y2 + 2y
Example 2
Find (6y2 + 8y4 – 5y) – (9y4 – 7y + 2y2).
-y4 + 4y2 + 2y
Example 3The measures of two sides of a triangle are given. If P is the perimeter, and P = 10x + 5y, find the measure of the third side.
Example 3Perimeter = Side 1 + Side 2 + Side 3
Side 3 = Perimeter – (Side 1 + Side 2)
= (10x + 5y) – ((3x + 4y) + (5x – y))
= (10x + 5y) – (8x + 3y)
Example 3Perimeter = Side 1 + Side 2 + Side 3
Side 3 = Perimeter – (Side 1 + Side 2)
= (10x + 5y) – ((3x + 4y) + (5x – y))
= (10x + 5y) – (8x + 3y)
= 2x + 2y
Example 3Perimeter = Side 1 + Side 2 + Side 3
Side 3 = Perimeter – (Side 1 + Side 2)
= (10x + 5y) – ((3x + 4y) + (5x – y))
= (10x + 5y) – (8x + 3y)
= 2x + 2y
Homework
Pg 441
12 – 30 (even)
36 & 37
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