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HomeworkHomeworkSection 9.1: 1) pg 430 6-16, 19-27, 39-52
2) WB pg 47 all
Section 9.2: 1) pg 436 22-50 all2) WB pg 48 all 3) Worksheet
Section 9.3: 1) pg 441 4, 5-36, 45-522) WB pg 49 all
Section 9.4: 1) pg 446 6-37, 40-512) WB pg 50 all
Chapter 9Chapter 9
Write in standard form:9 + x – 4x2
-9 - 3m2 - m3 + 2m
Standard Form: The terms are ordered from left to right in descending order (greatest exponent to the least)
Section 9.1
Chapter 9Chapter 9
Adding PolynomialsPut in standard form and combine like terms
Section 9.1
Find the sum:
(2x2 – 3x + 5) + ( 4x2 + 7x – 2)
(3x2 + 5x + 5) + (4 – 6x – 2x2)
Chapter 9Chapter 9
Write a polynomial expression for the perimeter the polygon:
x2 + x
2x2 2x2
x2 + x
Section 9.1
Chapter 9Chapter 9
Subtracting PolynomialsPut in standard form and combine like terms
Section 9.1
Find the difference:
(4x2 + 3x + 2) - ( 2x2 - 3x + 7)
(3x2 - 2x + 3) - (2x – 4 + x2)
Chapter 9Chapter 9
Multiplying PolynomialsUse the distributive property to find the product
Section 9.2
Example:Using the distributive property to find a product
3x(2x – 5)
(x + 3)(x +2)
Chapter 9Chapter 9 Section 9.2
Examples:
5x(2x + 1) 6x(2x – 3)
(x + 4)(x - 5) (x + 3)(x – 10)
Chapter 9Chapter 9
Multiplying BinomialsUse the FOIL Method
Multiply the First terms. Multiply the Outside terms. Multiply the Inside terms. Add the outside and inside
products. Multiply the Last Terms.
Section 9.3
Example:
(3x + 2)(5x + 1)
Chapter 9Chapter 9 Section 9.3
Examples:
(x + 9)(2x - 4) (2s + 1)(5s + 3)
(4g - 7)(2g + 3) (3m - 5)(3m + 5)
Chapter 9Chapter 9
Special ProductsFor any real numbers a and b and for any expressions
involving real numbers and variables. (a + b)(a – b) = a2 – b2
(a + b)(a + b) = (a + b)2 = a2 + 2ab + b2
(a - b)(a – b) = (a – b)2 = a2 – 2ab + b2
Section 9.3
Example:
(x – 3)(x + 3)
Chapter 9Chapter 9 Section 9.3
Examples:
(x – 6)(x+6) (2x – 3)(2x – 3)
(2x + 6)2 (2x + 6)(2x + 6)