Multiplying Binomials Honors Math – Grade 8. Multiply a Polynomial by a Monomial Find Use the...
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Transcript of Multiplying Binomials Honors Math – Grade 8. Multiply a Polynomial by a Monomial Find Use the...
Multiplying Binomials
Honors Math – Grade 8
)1073(2 22 xxxMultiply a Polynomial by a Monomial
Find
)1073(2 22 xxxUse the Distributive Property.Be sure to distribute to all terms
)3)(2( 22 xx )7)(2( 2 xx )10)(2( 2 x
Multiply
46x 314x 220x
234 7146 xxx
)127()53(4 22 dddddSimplify
Use the Distributive Property
)3)(4( 2d )5)(4( d ))(( 2dd
Multiply)127()53(4 22 ddddd
)7)(( dd )12)(( d212d d20 3d 27d d12
ddddd 1272012 232 Simplify
Group like terms322 )1220()712( ddddd 32 819 ddd ddd 819 23
Arrange in descending order
Get Ready for the LessonBefore multiplying polynomials, take a look at 2-digit multipliers:
4687201443624
First multiply ones
Then multiply tensAdd the products
Let’s apply this to multiplying two binomials.This is using the Distributive Property twice.
)2)(3( xxMethod 1 – The “Box” Method
Step 1. Make a grid. One square for each term. Then write the terms. x
x
3
2
Step 2. Multiply
2x x2
x3 6Step 3. Add like terms on the diagonal.
xxx 532 x5
65)2)(3( 2 xxxx
Step 4. Write the product. Look in the squares.
)8)(2( aaMethod 1 – The “Box” Method
Step 1. Make a grid. One square for each term. Then write the terms. a
a
2
8
Step 2. Multiply
2a a8
a2 16Step 3. Add like terms on the diagonal.
aaa 682 a6
166)8)(2( 2 aaaa
Step 4. Write the product. Look in the squares.
)54)(63( ccMethod 1 – The “Box” Method
Step 1. Make a grid. One square for each term. Then write the terms.
Step 2. Multiply
Step 3. Add like terms on the diagonal.
Step 4. Write the product. Look in the squares.
)43)(12( ddMethod 1 – The “Box” Method
Step 1. Make a grid. One square for each term. Then write the terms.
Step 2. Multiply
Step 3. Add like terms on the diagonal.
Step 4. Write the product. Look in the squares.
)13)(87( ffMethod 1 – The “Box” Method
Step 1. Make a grid. One square for each term. Then write the terms.
Step 2. Multiply
Step 3. Add like terms on the diagonal.
Step 4. Write the product. Look in the squares.
)4)(32( yxyx Method 1 – The “Box” Method
Step 1. Make a grid. One square for each term. Then write the terms.
Step 2. Multiply
Step 3. Add like terms on the diagonal.
Step 4. Write the product. Look in the squares.
)61.8)(2.12.0( hhMethod 1 – The “Box” Method
Step 1. Make a grid. One square for each term. Then write the terms.
Step 2. Multiply
Step 3. Add like terms on the diagonal.
Step 4. Write the product. Look in the squares.
yxyx
5
4
3
1
4
3
3
2
Method 1 – The “Box” Method
Step 1. Make a grid. One square for each term. Then write the terms.
Step 2. Multiply
Step 3. Add like terms on the diagonal.
Step 4. Write the product. Look in the squares.
