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Grade 8 - Mathematics7.8 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) = _____?25x2+25x+65x2+25x+625x2+5x+6 Q 2: (4x-2).(4x-5) = _____?6x2-28x+1016x2-18x+1016x2-28x+10 Q 3: (6x+4).(4x+6) = _____?24x2+50x+2424x2+52x+2420x2+52x+24 Q 4: (x-2).(x+1) = _____?x2-x+2x2-x-2x2+x-2 Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!