Answer:
Explanation:
I hope you understand this
Answer:
da answer iz w=80% coz they are opposite angels
The answer to this equation is: 7q +12
Answer:
4.666667
Step-by-step explanation:
Answer:
The given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
Step-by-step explanation:
Given
![f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18](https://tex.z-dn.net/?f=f%5Cleft%28x%5Cright%29%5C%3A%3D%5C%3Ax%5E2%5C%3A%2B%5C%3Ax%5E3%5C%3A-%5C%3A11x%5E2%5C%3A-%5C%3A9x%5C%3A%2B%5C%3A18)
We know the rational zeros theorem such as:
if
is a zero of the function
,
then
.
As the
is a polynomial of degree
, hence it can not have more than
real zeros.
Let us put certain values in the function,
,
,
,
,
,
,
,
, ![f(-3) = 0](https://tex.z-dn.net/?f=f%28-3%29%20%3D%200)
From the above calculation results, we determined that
zeros as
and
.
Hence, we can check that
![f(x) = (x+3)(x+2)(x-1)(x-3)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%2B3%29%28x%2B2%29%28x-1%29%28x-3%29)
Observe that,
,
increases rapidly, so there will be no zeros for
.
Therefore, the given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.