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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
4.31 Multiplication of Two Binomials - Using a Table

Example: Find the product of (x-4) and (3x+2).
Solution:
  1. Write subtraction as addition in each polynomial. (x-4)(3x+2) = [x + (-4)](3x+2)
  2. Make a table of products
    3x 2
    x
    -4
    3x2 ---
    --- ---

    3x 2
    x
    -4
    3x2 2x
    -12x -8
  3. The product is 3x2 + 2x - 8, or 3x2 - 10x - 8

Example: Find the product of (5x-3) and (6x+5).
Solution: (5x-3)(6x+5) = (5x-3).6x + (5x-3).5
= 30x2-18x+25x-15
= 30x2+7x-15.


Directions: Solve the following problems. Also write at least ten examples of your own.
Q 1: (5x+2).(5x+3) = _____?
5x2+25x+6
25x2+5x+6
25x2+25x+6

Q 2: (9x-9).(2x-5) = _____?
10x2-63x+45
18x2-63x+50
18x2-63x+45

Q 3: (x-5).(x+2) = _____?
x2-3x+10
5x2-3x-10
x2-3x-10

Q 4: (x-2).(x+1) = _____?
x2-x-2
x2+x-2
x2-x+2

Q 5: (4x-2).(4x-5) = _____?
6x2-28x+10
16x2-18x+10
16x2-28x+10

Q 6: (x+9).(3x-5) = _____?
3x2-22x+45
3x2+22x-45
3x2+20x-45

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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