Chapter 8 Worksheet With Answers - Montville Township Public Schools Page 22
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38Study Guide and Review - Chapter 8
2
− 6x − 45 = 3(x − 5)(x + 3).
So, 3x
2
59. 2a
+ 13a − 24
SOLUTION:
In this trinomial, a = 2, b = 13 and c = –24, so m + p is positive and mp is negative. Therefore, m and p must have
different signs. List the factors of 2(–24) or –48 and identify the factors with a sum of 13.
Factors of –48
Sum
–1, 48
47
1, –48
–47
–2, 24
22
2, –24
–22
–3, 16
13
3, –16
–13
–4, 12
8
4, –12
–8
–6, 8
2
6, –8
–2
The correct factors are –3 and 16.
2
So, 2a
+ 13a − 24 = (2a − 3)(a + 8).
Solve each equation. Confirm your answers using a graphing calculator.
2
60. 40x
+ 2x = 24
SOLUTION:
The roots are
and
or –0.80 and 0.75 .
2
Confirm the roots using a graphing calculator. Let Y1 = 40x
+ 2x and Y2 = –24. Use the intersect option from the
CALC menu to find the points of intersection.
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