Math
Polynomial Area Model Independent Practice
1. Combine like terms and then rewrite...
Mathematics, 22.11.2021 17:20 Theyfall4raven
Math
Polynomial Area Model Independent Practice
1. Combine like terms and then rewrite each polynomial in standard form.
1. 2x + 7x
2. 2x + 3x2 +7x - 4
3. 3x2 - 2x + 4x + 7
4. 6x3 - 4x + 2 - x
2. Multiply each polynomial. Show your solution steps, and use an area model for at least 4 of the problems.
ANSWER BOX
6x2 -20x + 6
-35x - 56
16x2 - 8x + 1
12x2 + 18x
12x2 + 14x + 2
8x2 + 26x + 6
1.) 6x(2x + 3)
2.) 7(-5x - 8)
3.) (2x + 2)(6x + 1)
4.) (4x + 1)(2x + 6)
5.) (x - 3)(6x - 2)
6.) (4x - 1)2
What is going on with the diagonals?
EXPLORATION
3
a. Multiply (5x + 3)(x + 4) using the area model to the right. Write your answer as a sum below.
b. Multiply the term in box 1 by the term in box 4. Write your answer below.
c. Multiply the term in box 2 by the term in box 3. Write your answer below.
4
a. Multiply (3x + 5)(2x - 1) using the area model to the right. Write your answer as a sum below.
b. Multiply the term in box 1 by the term in box 4. Write your answer below.
c. Multiply the term in box 2 by the term in box 3. Write your answer below.
5. OBSERVATIONS
a. What do you notice about your answers to parts b and c in each of the 2 problems?
b. Do the terms in box 1 and 4 always appear in the sum?
c. What is the greatest common factor of boxes 1 and 2 from problems 1 and 2?
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