For Exercises 123–132, write an equation with integer coefficients and the variable x that has the given solution set. [ Hint : Apply the zero product property in reverse. For example, to build an equation whose solution set is { 2 , − 5 2 } we have ( x − 2 ) ( 2 x + 5 ) = 0 , or simply 2 x 2 + x − 10 = 0 .] { 2 , − 2 }
For Exercises 123–132, write an equation with integer coefficients and the variable x that has the given solution set. [ Hint : Apply the zero product property in reverse. For example, to build an equation whose solution set is { 2 , − 5 2 } we have ( x − 2 ) ( 2 x + 5 ) = 0 , or simply 2 x 2 + x − 10 = 0 .] { 2 , − 2 }
Solution Summary: The author explains how the equation with integer coefficients and variable x is x2-2=0.
For Exercises 123–132, write an equation with integer coefficients and the variable x that has the given solution set. [Hint: Apply the zero product property in reverse. For example, to build an equation whose solution set is
{
2
,
−
5
2
}
we have
(
x
−
2
)
(
2
x
+
5
)
=
0
, or simply
2
x
2
+
x
−
10
=
0
.]
For Exercises 5–10,
a. Simplify the expression.
b. Substitute 0 for h in the simplified expression.
2(x + h)? + 3(x + h) ·
5.
(2x + 3x)
3(x + h - 4(x + h) – (3x - 4x)
6.
h
1
1
1
1
(x + h) – 2
7.
x - 2
2(x + h) + 5
8.
2x + 5
h
(x + h) – x
9.
(x + h)
10.
- X
h
h
Exercises 38–40 will help you prepare for the material covered in
the first section of the next chapter.
In Exercises 38-39, simplify each algebraic expression.
38. (-9x³ + 7x? - 5x + 3) + (13x + 2r? – &x – 6)
39. (7x3 – 8x? + 9x – 6) – (2x – 6x? – 3x + 9)
40. The figures show the graphs of two functions.
y
y
201
10-
....
-20-
flx) = x³
glx) = -0.3x + 4x + 2
For Exercises 39–42, multiply the radicals and simplify.
Assume that all variable expressions represent positive real
numbers.
39. (6V5 – 2V3)(2V3 + 5V3)
40. (7V2 – 2VIT)(7V2 + 2V1T)
41. (2c²Va – 5ď Vc)
42. (Vx + 2 + 4)²
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