The document describes three methods for multiplying polynomials:
1) The distributive property, which involves multiplying each term of one polynomial with each term of the other.
2) FOIL (First, Outer, Inner, Last), which is a mnemonic for multiplying binomials by multiplying corresponding terms.
3) The box method, which involves drawing a box and writing one polynomial above and beside the box, then multiplying corresponding terms. Examples are provided to demonstrate each method.
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If you are looking for math video tutorials (with voice recording), you may download it on our YouTube Channel. Don't forget to SUBSCRIBE for you to get updated on our upcoming videos.
https://tinyurl.com/y9muob6q
Also, please do visit our page, LIKE and FOLLOW us on Facebook!
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I have added to the original presentation in response to one of the comments.... the result of 'x' is correct on slide 7, take a look at the new version of this ppt to clear up any confusion about why...
This powerpoint presentation is all about Multiplying Binomials Using Algebra Tiles. i presented this during my first demonstration teaching at Sorsogon State College.
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BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
Multiplying polynomials
1. Objective
The student will be able to:
multiply two polynomials using the
FOIL method, Box method and the
distributive property.
SOL: A.2b
Designed by Skip Tyler, Varina High School
2. There are three techniques you can
use for multiplying polynomials.
The best part about it is that they are all the
same! Huh? Whaddaya mean?
It’s all about how you write it…Here they are!
1)Distributive Property
2)FOIL
3)Box Method
Sit back, relax (but make sure to write this
down), and I’ll show ya!
3. 1) Multiply. (2x + 3)(5x + 8)
Using the distributive property, multiply
2x(5x + 8) + 3(5x + 8).
10x2 + 16x + 15x + 24
Combine like terms.
10x2 + 31x + 24
A shortcut of the distributive property is
called the FOIL method.
4. The FOIL method is ONLY used when
you multiply 2 binomials. It is an
acronym and tells you which terms to
multiply.
2) Use the FOIL method to multiply the
following binomials:
(y + 3)(y + 7).
5. (y + 3)(y + 7).
F tells you to multiply the FIRST
terms of each binomial.
y2
6. (y + 3)(y + 7).
O tells you to multiply the OUTER
terms of each binomial.
y2 + 7y
7. (y + 3)(y + 7).
I tells you to multiply the INNER
terms of each binomial.
y2 + 7y + 3y
8. (y + 3)(y + 7).
L tells you to multiply the LAST
terms of each binomial.
y2 + 7y + 3y + 21
Combine like terms.
y2 + 10y + 21
9. Remember, FOIL reminds you to
multiply the:
First terms
Outer terms
Inner terms
Last terms
10. The third method is the Box Method.
This method works for every problem!
Here’s how you do it.
Multiply (3x – 5)(5x + 2) 3x -5
Draw a box. Write a
polynomial on the top and
side of a box. It does not 5x
matter which goes where.
This will be modeled in the
next problem along with
+2
FOIL.
11. 3) Multiply (3x - 5)(5x + 2)
First terms: 15x2
3x -5
Outer terms: +6x
Inner terms: -25x
Last terms: -10
5x 15x2 -25x
Combine like terms.
15x2 - 19x – 10 +2 +6x -10
You have 3 techniques. Pick the one you like the best!
15. 5) Multiply (2x - 5)(x2 - 5x + 4)
You cannot use FOIL because they are
not BOTH binomials. You must use the
distributive property.
2x(x2 - 5x + 4) - 5(x2 - 5x + 4)
2x3 - 10x2 + 8x - 5x2 + 25x - 20
Group and combine like terms.
2x3 - 10x2 - 5x2 + 8x + 25x - 20
2x3 - 15x2 + 33x - 20
16. 5) Multiply (2x - 5)(x2 - 5x + 4)
You cannot use FOIL because they are not BOTH
binomials. You must use the distributive property or
box method.
x2 -5x +4
2x 2x3 -10x2 +8x
Almost
done!
Go to
-5 -5x2 +25x -20 the next
slide!