( x^4 - 4 x³ + 2 x² - 4 x + 1 ) : ( x² + 1 ) = x² - 4 x + 1
- x^4 - x²
------------------------
- 4 x³ + x² - 4 x
4 x³ + 4 x
-----------------------
x² + 1
- x² - 1
----------------
R ( x ) = 0
( x^4 - 4 x³ + 2 x² - 4 x + 1) = ( x² + 1 ) ( x² - 4 x + 1 )
Answer:
y = 5x + 3
The line shown has a rate of change of 2, while y = 5x + 3 has a rate of change of 5.
I got 9.8
6x^2+13x-5=0
36x+13x-5=0
+5 +5
36x+13x=5
49x=5
5 5
X=9.8
Answer:
The width of rectangle w = 4 units
Step-by-step explanation:
We are given:
Width of rectangle = w
Length of rectangle = w+ 4
Area of rectangle = 32 units
We need to find width of the rectangle
The formula used is:
Putting values and finding width of rectangle
We need to solve this quadratic equation to find width (w)
We will use factorisation and break the middle term.
Since width of rectangle can't be negative, so rejecting w=-8
Therefore, the width of rectangle w = 4 units
Given:
The function is
The binomial is a factor of f(x).
To find:
The value of .
Solution:
If is a factor of f(x), then .
It is given that, is a factor of f(x), then .
We have,
Substituting x=4, we get
Now,
Therefore, the value of a is 5.