Algebra Fractions Long Division Exercises and Examples
Explore algebraic fractions and long division with a series of interactive exercises and examples. Learn how to divide, multiply, subtract, and find remainders using various algebraic expressions. No calculator needed!
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Presentation Transcript
Algebra Fractions - Long Division Wednesday, January 20, 2021 Keywords Divide Multiply Subtract Remainder Factor Root
Find ? 4 ?= 32 2
Find ? = 4 ? x x 3
Find ? = 2 3 ? 2 x x 4
Find ? = 4 5 ? 4 x x 5
Find ? = 3 5 2 ? 6 x x 6
Find ? = 6 5 ? 25 x x 7
Workout (without a calculator!) 4584 24 8
Long Division Rap https://www.youtube.com/watch?v=y3F0SItM-os
Long Division 1. Divide 2. Multiply 3. Subtract 4. Bring in down 5. Bring it back 4584 24 9 1 01 24 4584 24 218 216 How many 24s in 4? 0 How many 24s in 45? 1 - 9 - How many 24s in 218 ? How many 24s in 24 ? 1 24 24 - 0 No Remainder
Example 1: Dividing Algebra Expressions - Factorisation Method 1 (?2 ? 20) (? + 4) ?2 ? 20 ? + 4 (? + 4)(? 5) ? + 4 ? 5
Example 1: Dividing Algebra Expressions Long Division 1. Divide 2. Multiply 3. Subtract 4. Bring in down 5. Bring it back Method 2: Long Division (?2 ? 20) (? + 4) ?2 ? 20 ? + 4
Example 2: Dividing Algebra Expressions Long Division 1. Divide 2. Multiply 3. Subtract 4. Bring in down 5. Bring it back (2?2 7? 4) (? 4) 2?2 7? 4 ? 4
Example 3: Dividing Algebra Expressions Long Division 1. Divide 2. Multiply 3. Subtract 4. Bring in down 5. Bring it back (6?2 10? 4) (3? + 1) 6?2 10? 4 3? + 1
Example 4: Dividing Algebra Expressions Long Division 1. Divide 2. Multiply 3. Subtract 4. Bring in down 5. Bring it back
Example 5: Dividing Algebra Expressions Long Division 1. Divide 2. Multiply 3. Subtract 4. Bring in down 5. Bring it back
Example 6: Dividing Algebra Expressions Long Division 1. Divide 2. Multiply 3. Subtract 4. Bring in down 5. Bring it back
Example 7: Dividing Algebra Expressions Long Division 1. Divide 2. Multiply 3. Subtract 4. Bring in down 5. Bring it back
Example 8: Dividing Algebra Expressions Long Division 1. Divide 2. Multiply 3. Subtract 4. Bring in down 5. Bring it back
Example 9: Dividing Algebra Expressions Long Division i) ii) Hence find the other two factors. Show that x 1 is a factor of?3 2?2 5? + 6.
Example 10: Dividing Algebra Expressions Long Division Is x 3 a factor of ?3 5?2+ 8? 4
Example 11: Dividing Algebra Expressions Long Division i) ii) Hence find the other two factors. iii) What are the three roots of the equation? Show that x = 4 is a root of2?3 7?2 42? + 72 = 0.
