think of a number. subtract 7. multiply by 3. add...
TRANSCRIPT
9.2 Multiply Polynomials.notebook
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problem of the day
Think of a number. Subtract 7. Multiply by 3. Add 30. Divide by 3. Subtract the original number. Use polynomials to illustrate this number trick.
Think of a number x
Subtract 7 x 7
Multiply by 3 3(x 7) = 3x 21
Add 30 3x 21 + 30 = 3x + 9
Divide by 3 (3x + 9)/3 = x + 3
Subtract original x + 3 x = 3
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1 Which of the following is equivalent
to ?
A
B
C
D
(Don't forget...)
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2 When you subtract
from , the result is?
A
B
C
D
(Don't forget...)
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9.2 Multiply PolynomialsKeys to success:• Use distributive property• Combine like terms• Stay organized• Be careful with computation.
or
Multiply a monomial and a polynomialFind the product:
Use the distributive property
Use the product of powers property
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FO ILirst terms
uter terms
nner terms
ast terms
Multiply binomials using the FOIL patternFind the products:
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Multiplying Polynomials (the easy way)
2x (x 5)
(2x + 4)(x2 x 3)
11x (2x + 4)
x (3x + 1)
(6x2 + 4x)(x
+ 2)
(x + 8 )(x + 3)
next
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x (3x + 1) = 3x2 + xThe Old Way:
Using the Area Model:
x3x 1
3x2 x
multipl
y
Erase to see the answers!
Re-write the contents of the boxes as an equation (each box is one term in the equation).
3x2 + x next
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You try :)
Erase to see the answers!
How would you multiply these binomial?
(x + 8 )(x + 3)
Put the correct answer in the box, then pull the shade to see if you where right. You won't need all the choices.
next
Watch out for the negative signs!
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(x + 8 )(x + 3)
Let's look at this problem, again. What do you notice?
Click here
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Our liketerms are always going to be diagonal of each other! Knowing this can help us prevent multiplication mistakes.
This will happen every single time! Check out this problem...
combine your like-terms
next
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Negative signs go with the number they are in front of
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simplifyChallen
ge Ques
tion #1
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Write a polynomial that represents the area of the shaded region.
x 6
2x2x2 + 12x
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Write a polynomial that represents the area of the light blue shaded region.
2x
3x
8
10
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Homework for Tuesday, March 12
1. Finish and hand in electronically the next 3 slides for tomorrow.2. pp. 565566 #341 odd, 42, 43, 55, 57, 59
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Challenge Question #2simplify
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Answer to
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Numbered Heads Together...
Get into teams of three, and solve the following problem. When the team has decided on "one" answer, you may all sit down. This activity will end when the timer goes off or all teams are sitting. Good luck!
Answer