To find the factor a a polynomial from its roots, we are going to seat each one of the roots equal to

, and then we are going to factor backwards.
We know for our problem that one of the roots of our polynomial is -3, so lets set -3 equal to

and factor backwards:



is a factor of our polynomial.
We also know that another root of our polynomial is

, so lets set

equal to

and factor backwards:




(

is a factor of our polynomial.
We can conclude that there is no correct answer in your given choices.
If we take the equation and multiply out the left side, we get....

+ 2xk +

=

+ x +

The x^2 and k^2 cancel out on both sides leaving us with this...
2kx = x
If we divide both sides by 2x to isolate k,
k ends up = 1/2
Answer:
<h2><u>Solution</u><u> </u><u>:</u><u>-</u></h2>
We know that
V = πr²h
400 = 22/7 × r² × 8
400 × 7 = 22 × 7r²
2800 = 154r²
2800/154 = r²
18 ≈ r²
4.2 = r
So the question is the original price was $791 and they bought it at the marked down price at $474.60? then they saved $316.40 but i’m not really sure if that’s the question lol
Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
the optimized solution of a linear program to an integer as it does not affect the value of the objective function.
As if we round the optimized solution to the nearest integer, it does not change the objective function .
while it is not true that it always produces the most optimal integer solution or feasible solution.
Hence, Option 'c' is correct.