Quadratic Equations By Factoring Worksheet With Answer Key Page 4

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Therefore,
 
4-3 Solving Quadratic Equations by Factoring
.
27. 
 
SOLUTION:  
Find the factors of –22 whose sum is –9.
 
2(–11) = –22 and 2 + (–11) = –9
 
Write –9x as 2x –11x.
 
Factor x from the first two terms and –11 from the last two terms.
 
Factor x + 2 from the two terms.
 
Therefore,
 
29. 
 
SOLUTION:  
Here, a = 15, b = 7 and c = –2.
 
ac = 15(–2) = –30
 
Find two factors of –30 whose sum is 7.
 
10(–3) = –30 and 10 + (–3) = 7
 
Write 7x as 10x – 3x.
 
 
Factor 5x from the first two terms and –1 from the last two terms.
 
Factor 3x + 2 from the two terms.
 
 
Therefore,
 
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31. 
 

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