Dividing and Multiplying Algebraic Expressions Tutorial
Learn how to divide and multiply algebraic expressions step-by-step in this informative tutorial. Understand the process through visual examples and improve your mathematical skills. Discover how to handle remainders in division and practice solving problems to master the concepts.
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Presentation Transcript
+ 2 The Problem: ( 7 30) ( 3) x x x What you are dividing by goes on the outside What you are dividing into goes on the inside + 2 3 7 30 x x x
+ 2 3 7 30 x x x Look at the first two terms: What times is x 2 ? x x
x + 2 3 7 30 x x x ( ) x Multiply with ( 3) x x 3 and subtract: x x 3 2 x =
x + 2 3 7 30 x x x Subtract like terms and bring down the -30. Repeat the process What times x is 10x? 10 + ( ) 2 3 x x x 10 30
x + 10 + 2 3 7 30 x x x Multiply 10 with x 3 and subtract ( ) 2 3 x x x 10 ( ) 30 10x 30 10(x 3) = 0 There is no remainder
This means that: + = + 2 ( 7 30) ( 3) 10 x x x x
+ + x 6 4 x x A New Problem: + 2 2 1 x + + 2 4 1 x x ( ) 2 - 2 x x 2 x + 6 1 12 x - 6 ( ) x 13 This time there is a remainder
The remainder goes over the divisor, x 2. x+ 6 4 x + + x 2 2 1 x ( ) 2 - 2 x x + + 2 4 1 x x = + + 2 x 6 1 12 x - 6 ( ) x 13
