|
b c a c c a b c a b
|
| 5.4
|
| 1. One of the factors of x2
+ 18x + 81 is
|
| a(x
+ 7) |
| b(x
+ 9) |
| c(
x + 81) |
| dnone
of the above |
2. One of the factors of x3 +
22x2 + 121x is
(Hint: Factor out x, then factor again.)
|
|
a(x + 12) |
|
b(x + 24) |
|
c(x + 11) |
|
dnota |
| 5.5 |
3. One of the factors of 5x2
- 125 is:
(Hint: factor out 5, then factor again.) |
|
a(x -
5) |
|
b(x + 125) |
|
c(x + 25) |
|
dnota |
| 5.6
|
| 4. Solve (x - 9) ( x + 3)= 0.
|
|
ax = 9 |
|
bx = -9 or 3 |
|
cx = 9
or -3 |
|
dnota |
5. Solve x2 + 6x + 5 = 0.
The solution for x is between |
|
a 2
and 5 or 6 and 8 |
|
b0 and
2 or 4 and 6 |
|
c-2
and 0 or -6 and -4 |
|
dnota |
| 6. Solve x2 + 4x = 0. The
solution for x is between |
|
a-1
and 1 or -6 and -3 |
|
b1
and 3 or 4 and 7 |
|
c-1
and 1 or -5 and - 3 |
|
dnota |
| 5.7 |
| 7. A number is 6 less than its square.
Translate. |
|
ax2
= x -6 |
|
bx = x2
- 6 |
|
cx = x - 6 |
|
dnota |
| 8. Solve the equation for x in
the previous problem. |
|
ax = -3 or
2 |
|
bx = -3 or
-2 |
|
cx = 3 or
-2 |
|
dnota |
9. A triangle is 10 cm wider than it
is tall . The area is 28 cm2.
Translate: |
|
a28 =
(1/2)(h + 10)h |
|
b28 =
(1/2)(10)h |
|
c28 =
(1/2)(b + 10)h |
|
dnota |
| 10. Find the height h and the base b in
the previous problem. |
| ah
= -4 and b = 14 |
|
bh = 4
and b = 14 |
|
ch =
4 and b = -14 |
|
dnota |
11. Written problem. 6.1. Factor and
simplify.
= (x +2)(x -2)/(x +2)(x + 3)
= (x - 2)/(x + 3)
|
|
|