FACTORING EXPRESSIONS WORKSHEET
About "Factoring expressions worksheet"
Factoring expressions worksheet :
Worksheet on factoring expressions is much useful to the students who are at the initial stage of learning Algebra in Math.
Before we look at the worksheet, let us look at the steps involved in factoring expressions.
Factoring expressions - Steps
Step 1 :
Find the largest common divisor for all the terms in the expression
Step 2 :
Divide each term of the expression by the largest common divisor.
Step 3:
Write the quotients inside the parenthesis.
Step 4 :
Write the largest common divisor and the parenthesis together using multiplication.
Factoring expressions worksheet - Problems
1. Factor : 4x + 8
2. Factor : 16a + 64b - 4c
3. Factor : 5x² - 15x
Factoring expressions worksheet - Solution
Problem 1 :
Factor : 4x + 8
Solution :
Step 1 :
Find the largest common divisors for 4x and 8.
The largest common divisor for 4x and 8 is 4.
Step 2 :
Divide 4x and 8 by 4
4x / 4 = x and 8 / 4 = 2
Step 3 :
Write the quotients x and 2 inside the parenthesis and multiply by the largest common divisor 4.
4(x + 2)
Hence, 4x + 8 = 4(x + 2)
Justify and Evaluate :
To verify our answer, let us use distributive property to multiply 4 and (x+2).
Distribute 4 to x and 2.
4(x+2) = 4.x + 4.2
4(x+2) = 4x + 8
When we multiply 4 and (x + 2), we get the expression given in the question. So, 4 and (x+2) are the factors of 4x + 8
Problem 2 :
Factor : 16a + 64b - 4c
Solution :
Step 1 :
Find the largest common divisors for 16a, 64b and 4c.
The largest common divisor for 16a, 64b and 4c is 4.
Step 2 :
Divide 16a, 64b and 4c by 4
16a / 4 = 4a, 64b / 4 = 16b and 4c / 4 = c
Step 3 :
Write the quotients 4a, 16b and c inside the parenthesis and multiply by the largest common divisor 4.
4(4a + 16b - c)
Hence, 16a + 64b - 4c = 4(4a + 16b - c)
Justify and Evaluate :
To verify our answer, let us use distributive property to multiply 4 and (4a + 16b - c).
Distribute 4 to 4a, 16b and c.
4(4a + 16b - c) = 4.4a + 4.16b - 4.c
4(4a + 16b - c) = 16a + 64b - 4c
When we multiply 4 and (4a+16b-c), we get the expression given in the question. So, 4 and (4a+16b-c) are the factors of 16a + 64b - 4c
Problem 3 :
Factor : 5x² - 15x
Solution :
Step 1 :
Find the largest common divisors for 5x² and 15x.
The largest common divisor for 5x² and 15x is 5x.
Step 2 :
Divide 5x² and 15x by 5x
5x² / 5x = x and 15x / 5x = 3
Step 3 :
Write the quotients x and 3 inside the parenthesis and multiply by the largest common divisor 5x.
(5x)(x - 3)
Hence, 5x² + 15x = (5x)(x - 3)
Justify and Evaluate :
To verify our answer, let us use distributive property to multiply 5x and (x - 3).
Distribute 5x to x and 3.
(5x)(x - 3) = 5x.x - 5x.3
(5x)(x - 3) = 5x² - 15x
When we multiply 5x and (x-3), we get the expression given in the question. So, 5x and (x-3) are the factors of 5x² - 15x.
After having gone through the stuff given above, we hope that the students would have understood "Factoring expressions worksheet".
Apart from the stuff given above, if you want to know more about "Factoring expressions", please click here
Apart from the stuff "Factoring expressions worksheet", if you need any other stuff in math, please use our google custom search here.
WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
