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I can show multiplying
polynomials with the FOIL.
OBJECTIVE
FOIL Method
MULTIPLYING POLYNOMIALS
Binomial X Binomial
(x + 4)(x + 7)
74 xx
2x
74 xx
2x x7
74 xx
2x x7 x4
74 xx
2x x7 x4 28
74 xx
2x x7 x4 282x x11 28
74 xx
2x x11 28
MULTIPLYING POLYNOMIALS
Binomial X Binomial
(x – 6)(x + 5)
)5)(6( xx
2x
2x x5
)5)(6( xx
2x x5 x6
)5)(6( xx
2x x5 x6 30
)5)(6( xx
2x x5 x6 302x x 30
)5)(6( xx
You Try!!!1.(x + 5)(x + 7) 2. (y + 9)(y – 6)
3. (n – 8)(n + 5) 4.(x - 4)(x - 3)
I can show multiplying
polynomials with the BOX METHOD.
OBJECTIVE
MULTIPLYING POLYNOMIALS
Binomial X Binomial
(x + 2)(x + 4)
BOX Method
)4)(2( xx
STEP 1: Draw the
BOX
BOX Method)4)(2( xx
2x2 for a Binomial x Binomial
BOX Method
)4)(2( xx
STEP 2: Place terms on outside
)4)(2( xx
x 2x
4
BOX Method
)4)(2( xx
STEP 3: MultiplyFind the area of
each box.
)4)(2( xx
x 2x
4
2x xx 2x x2
x4 x4 24 8
BOX Method
)4)(2( xx
STEP 3: Combine Like Terms
x 2x
4
2x x2
x4 8
2x x6 8
BOX Method
)4)(2( xx
2x x6 8
BOX Method
LET’S SEE THAT
AGAIN!
BOX Method
)5)(3( xx
STEP 1: Draw the
BOX
BOX Method
2x2 for a Binomial x Binomial
)5)(3( xx
BOX Method
STEP 2: Place terms on outside
)5)(3( xx
x 3x
5
)5)(3( xx
BOX Method
STEP 3: MultiplyFind the area of
each box.
)5)(3( xx
x 3x
5
2x xx 3x x3
x5 x5 35 15
)5)(3( xx
BOX Method
STEP 3: Combine Like Terms
)5)(3( xx
x 3x
5
2x x3
x5 15
2x x2 15
BOX Method
)5)(3( xx
2x x2 15
BOX Method
YOU TRY
)11)(1( xx
BOX Method
2x2 for a Binomial x Binomial
)11)(1( xx
x 1x
11
)11)(1( xx
x 1x
11
2x x1
x11 11
)11)(1( xx
x 1x
11
2x x1
x11 11
2x x12 11
MULTIPLYING POLYNOMIALS
Binomial X Binomial
(a + 4b)(a + 2b)
