Answer:
X=3
Step-by-step explanation:
Step 1: Add 8 to both sides.
x−8+8=−5+8
x=3
Given polynomial 
.
(a) To show that (x – 3) is a factor of f(x).
Factor theorem:
<em>A polynomial f(x) has a factor of (x – a), if and only if f(a) = 0.</em>
= 0
f(3) = 0
Hence (x – 3) is a factor of f(x).
(b) 
Here 
is common in first 2 terms and 2 is common in next 2 terms.
Now, (x – 3) is common in both terms.
and 
x = 3 and 
3 is the real root.
using quadratic formula solve and find the other roots.
These are complex roots.
Hence 3 is the only real root of the equation f(x) = 0.
Answer:
3/1
Step-by-step explanation:
You would count how far up it goes, with out it passing the dot (also know as the rise) which in this case is 3. Then you would count the number of space to go to the side (the run) so in this case it would be 1. Finally you would put rise over run and get 3/1.
Answer:
(x - 1)( x - 2) (x + 2) = x³ -x² -4x + 4.
Explanation:
1) Given equation:
3 5x x + 2
- ------- + -------- = ---------------
x + 2 x - 1 x² - 3x + 2
2) So, the denominators are x + 2, x - 1, and x² - 3x + 2
3) The LCD is the product of the common and non common factors raised to the greatest power.
4) x + 2, and x - 1 are already prime factors
5) Factor x² - 3x + 2
x² - 3x + 2 = (x - 2)(x - 1)
6) Then, the factors are x + 2, x - 1, and x - 2, and the LCD is the product of them:
(x - 1)( x - 2) (x + 2)
7) If you expand the products (distributive property) you get:
x³ -x² -4x + 4.
