Homework: DoNow:*e119.weebly.com/uploads/2/6/4/3/26437782/4.4.16... · 2018. 8. 29. · Agenda...
Transcript of Homework: DoNow:*e119.weebly.com/uploads/2/6/4/3/26437782/4.4.16... · 2018. 8. 29. · Agenda...
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Agenda Homework: • Mul+plying Polynomials WS (#1-‐24 EVEN)
• AM
Do Now: 1) Take out homework 2) Mul+ply the following
in your NOTEBOOK:
2ab (7a4b2 + a5b – 2a)
Materials: Notebook Calculator (if needed)
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2ab (7a4b2 + a5b – 2a)
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Homework Review
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Set up TOOLBOX (PMN) notes:
Topic: Mul+plying Polynomials Be sure to update Table of Contents
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Toolbox
• Mul+plying Polynomials: 1. Mul+ply each term from the first polynomial to
every term of the second polynomial 2. Combine like terms to simplify
• Shortcuts: – If mul+plying two BINOMIALS, use FOIL:
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How do you mul+ply 24 * 21 by hand?
24 X 21 X 21
4 2 X 21
8 4 + 4 0 5
1
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What is the product of (2x + 3)(x + 5)?
• Ver?cal Method:
2x + 3 x + 5 (x) x + 5
+ 15 10x
Both in Standard Form
x + 5
+ 3x 2x2 (+)
+ 15 + 13x 2x2
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What is the product of (2x + 3)(x + 5)?
• Horizontal Method:
(2x + 3)(x + 5) (2x + 3)(x + 5) (2x + 3)(x + 5) 2x (x + 5)
+
(2x + 3)(x + 5) 3 (x + 5)
2x2 + 10x + 3x + 15
+ 13x 2x2 + 15
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What is the product of (2x + 3)(x + 5)?
• FOIL Method (Only works with BINOMIALS):
(2x + 3)(x + 5)
First: Outer: Inner: Last:
(2x + 3)(x + 5)
(2x)(x) = 2x2
(2x + 3)(x + 5)
(2x)(5) = 10x
(2x + 3)(x + 5)
(3)(x) = 3x
(2x + 3)(x + 5)
(3)(5) = 15 13x
+ +
2x2
13x 15 (2x + 3)(x + 5)
(2x + 3)(x + 5) (2x + 3)(x + 5) (2x + 3)(x + 5)
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Find the product of (6x + 5)(2x2 – 3x – 5)
• Which method will you choose?
• Ver+cal Method?
2x2 – 3x – 5 6x + 5 (x)
CAN, but may get complicated
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Find the product of (6x + 5)(2x2 – 3x – 5)
• Which method will you choose?
• Horizontal Method?
6x (2x2 – 3x – 5) + 5(2x2 – 3x – 5)
(6x + 5)(2x2 – 3x – 5)
CAN, but may get complicated
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Find the product of (6x + 5)(2x2 – 3x – 5)
• Which method will you choose?
• FOIL method?
CANNOT since (2x2 – 3x – 5) is NOT a binomial
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Find the product of (6x + 5)(2x2 – 3x – 5)
• Which method will you choose?
• How about the BOX method?
• Recall Punnet Squares:
Punnet Squares are used to find ALL possible allele combina+ons (genotypes)
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Find the product of (6x + 5)(2x2 – 3x – 5)
6x
(6x + 5)(2x2 – 3x – 5)
(6x + 5)(2x2 – 3x – 5)
+5
(6x + 5)(2x2 – 3x – 5)
2x2
(6x + 5)(2x2 – 3x – 5)
-‐3x
(6x + 5)(2x2 – 3x – 5)
-‐5
12x3 -‐18x2 -‐30x
10x2 -‐15x -‐25
12x3 -‐ 8x2 -‐ 45x -‐25