Show all work to factor x4 – 17x2 + 16 completely.
2 answers:
Answer:
(x - 4)(x + 4)(x - 1)(x + 1)
Step-by-step explanation:
Given
- 17x² + 16
Use the substitution u = x², then
u² - 17u + 16
Consider the factors of the constant term (+ 16) which sum to give the coefficient of the u- term (- 17)
The factors are - 16 and - 1, then
u² - 17u + 16
= (u - 16)(u - 1) ← replace u by x²
= (x² - 16)(x² - 1) ← both factors are difference of squares
= (x - 4)(x + 4)(x - 1)(x + 1)
You might be interested in
The coordinate is (2,3).
Answer:
degrees Fahrenheit
Step-by-step explanation:
Let be temperature.
at 3:00PM:
degrees.
Every hour, the temperature falls by degrees per hour for the next four hours. Let's multiply 2.5 by 4 to find out the total temperature drop in four hours.
In four hours, the temperature dropped 10 degrees. Since it is getting colder, let's subtract this from the original 5.5 degrees to get the temperature at 7:00PM.
The temperature at 7:00PM was -4.8 degrees Fahrenheit.