Step-by-step explanation:
Factor the Expression because they are divisible by 4
\frac{4(x {}^{2} - 2x - 3) }{x - 3}
x−3
4(x
2
−2x−3)
Use Grouping method in finding the factors of the TRINOMIALS
1. Find ac
- 3x {}^{2}−3x
2. Find factors of ac whose sum is -2x
-3x + x−3x+x
3. Rewrite the expression
(x {}^{2} - 3x) +( x - 3)(x
−3x)+(x−3)
4. Factor
x(x - 3) + 1(x - 3)x(x−3)+1(x−3)
Remove one (x - 3)
x + 1( x - 3)
Put both parenthesis
( x + 1 ) ( x - 3)
Then rewrite the equation earlier
4( x - 3) ( x + 1)
__________
x - 3
Cancel x - 3
4( x + 1)
Distribute
4x + 4
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Answers & Comments
Step-by-step explanation:
Factor the Expression because they are divisible by 4
\frac{4(x {}^{2} - 2x - 3) }{x - 3}
x−3
4(x
2
−2x−3)
Use Grouping method in finding the factors of the TRINOMIALS
1. Find ac
- 3x {}^{2}−3x
2
2. Find factors of ac whose sum is -2x
-3x + x−3x+x
3. Rewrite the expression
(x {}^{2} - 3x) +( x - 3)(x
2
−3x)+(x−3)
4. Factor
x(x - 3) + 1(x - 3)x(x−3)+1(x−3)
Remove one (x - 3)
x + 1( x - 3)
Put both parenthesis
( x + 1 ) ( x - 3)
Then rewrite the equation earlier
4( x - 3) ( x + 1)
__________
x - 3
Cancel x - 3
4( x + 1)
Distribute
4x + 4