Answer:
or
is a factor of the given polynomial.
Step-by-step explanation:
Let us learn the concept with an example first.
Let the polynomial be a quadratic function
.

The roots of
are 2 and 3.
Putting 
Putting 

Putting x = 2 or x = 3, g(x) = 0
The roots of equation g(x) are 2 and 3.
Now, let us try to factorize g(x):

so, the equation can be written as:
where 3 and 2 are the roots of equation.
The factors are (x-3) and (x-2).
for the polynomial f(x) which has roots
will have a factor:
or 
We can re-group them to add more easily.
300 + 400 = 700
42 + 16 = 58
700+58 = 758
Answer: 758
Hello!
This question is about which values you are changing when you are transforming an equation.
Let's go through the parent function for an absolute value equation and its various transformations.

Since we are only looking at horizontal and vertical transformations, we only need to worry about the c and d values.
The c value of a function determines a function's horizontal position, and the d value of a function determines a function's vertical position.
One thing to note here is that the c value is being subtracted from the x value, meaning that if the function is being transformed to the right, you would actually be subtracting that value, while the d value behaves like a normal value, if it is being added, the function is transformed up, and vice versa.
Now that we know this, let's write each expression.
a) 
b) 
c) 
d) 
Hope this helps!