Download Factor completely. If the polynomial is not factorable, write prime. 21

 5-5 Solving Polynomial Equations
Therefore, the solutions are
Factor completely. If the polynomial is not
factorable, write prime .
4
.
3
35. 64x + 1 = 0
SOLUTION: 3
21. 64x + xy
SOLUTION: Solve each equation.
4
2
32. x – 7x – 44 = 0
SOLUTION: 2
Let y = x .
Therefore, the solutions are
.
Factor completely. If the polynomial is not
factorable, write prime.
6
50. x – 64
SOLUTION: Therefore, the solutions are
.
3
35. 64x + 1 = 0
SOLUTION: 57. GEOMETRY The volume of the figure at the right
is 440 cubic centimeters. Find the value of x and the
length, height, and width.
SOLUTION: The volume of the figure in terms of x is
.
eSolutions Manual - Powered by Cognero
Therefore, the solutions are
.
Therefore,
Solve for x.
.
Page 1
2
The expression x + 8x + 55 is a prime.
Therefore, x = 8.
The length is x= 8.
The height is x + 3 = 11.
The width is x – 3 = 5.
5-5 Solving Polynomial Equations
57. GEOMETRY The volume of the figure at the right
is 440 cubic centimeters. Find the value of x and the
length, height, and width.
70. ORGANIZE IDEAS A rectangular prism with
dimensions x – 2, x – 4, and x – 6 has a volume equal
to 40x cubic units.
a. Write out a polynomial equation using the formula
for volume.
b. Use factoring to solve for x.
c. Are any values for x unreasonable? Explain.
d. What are the dimensions of the prism?
SOLUTION: a. The volume of the prism is
SOLUTION: The volume of the figure in terms of x is
.
Therefore,
Solve for x.
.
Therefore,
b. Solve for x.
.
By Zero Product Property:
2
The expression x + 8x + 55 is a prime.
Therefore, x = 8.
The length is x= 8.
The height is x + 3 = 11.
The width is x – 3 = 5.
The solutions are
70. ORGANIZE IDEAS A rectangular prism with
dimensions x – 2, x – 4, and x – 6 has a volume equal
to 40x cubic units.
a. Write out a polynomial equation using the formula
for volume.
b. Use factoring to solve for x.
c. Are any values for x unreasonable? Explain.
d. What are the dimensions of the prism?
SOLUTION: a. The volume of the prism is
and 12.
c. Sample answer: ±2i because they are imaginary
numbers.
d. x – 2 =12 – 2 = 10
x – 4 = 12 – 4 = 8
x – 6 = 12 – 6 = 6
The dimensions are 6, 8 and 10 units.
.
Therefore,
b. Solve for x.
eSolutions Manual - Powered by Cognero
Page 2