Download How can you multiply two polynomials?

How can you multiply two polynomials?
A look at area models and
distributive property . . .
aka (FOIL)
(x + 8 )(x + 3)
erase
Our like-terms are always going to be diagonal of each
other! Knowing this can help us prevent multiplication
mistakes.
combine your like-terms
This will happen every single time! Check out this
problem...
next
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3
100
20000 4000
300
50
10000 2000
150
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243 x 159
+
20000
14000
4100
510
27
38,637
9
1800
360
27
Work with a partner. Write the product of two binomials modeled by
each rectangular array of algebra tiles. In parts (c) and (d), first draw
the rectangular array of algebra tiles that models each product.
a. (x + 3)(x − 2) =
b. (2x − 1)(2x + 1) =
c. (x + 2)(2x − 1) =
d. (−x − 2)(x − 3) =
erase
(3d + 7)(2d -­‐ 5)
(5m -­‐ 1)(6m 2 -­‐ m + 4)
(3x + 2y)(2x -­‐ y)
(-­‐2a 2 -­‐ 7a)(4a -­‐ 3)
(2g 2 + 3g)(5g 3 -­‐ 3g 2+ 7)
Use the Distributive Property to find the product.
1. (y + 4)(y + 1)
2. (z − 2)(z + 6)
Use a table to find the product.
3. (p + 3)(p − 8)
4. (r − 5)(2r − 1)
Factored Form
Standard Form
Factored Form a polynomial written as a product of prime factors
Standard Form a polynomial in one variable written in decreasing degrees
Just for you, Amaya . . .
Find each product.
a. (x − 3)(x − 6)
b. (2x + 1)(3x − 5)
c. (x + 5)(x2 − 3x − 2).
pg369:3 - 42e, 52 - 58