... and then?
You didn't eve give a question
The answer should be 89.98 cm squared
Answer:
Yes
Step-by-step explanation:
12:16
Divide each by 4
12/4 : 16/4
3:4
They are equivalent
Answer:
x = 44
Step-by-step explanation:
x + 33 + 103 = 180
x + 136 = 180
x = 44
We have been given that 4 is a zero of the polynomial function
. We are asked to find the remaining zeros of function.
Since 4 is a zero of f(x), so
will be a factor of f(x).
Let us divide our function f(x) by
.
![\frac{x^3-6x^2+13x-20}{x-4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E3-6x%5E2%2B13x-20%7D%7Bx-4%7D)
![\frac{(x-4)(x^2-2x+5)}{x-4}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-4%29%28x%5E2-2x%2B5%29%7D%7Bx-4%7D)
Now we will cancel out
from numerator and denominator.
![(x^2-2x+5)](https://tex.z-dn.net/?f=%28x%5E2-2x%2B5%29)
Now we will use quadratic formula to solve for x as:
![(x^2-2x+5)=0](https://tex.z-dn.net/?f=%28x%5E2-2x%2B5%29%3D0)
![x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
![x=\frac{-(-2)\pm\sqrt{(-2)^2-4(1)(5)}}{2(1)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-2%29%5Cpm%5Csqrt%7B%28-2%29%5E2-4%281%29%285%29%7D%7D%7B2%281%29%7D)
![x=\frac{2\pm\sqrt{4-20}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%7B4-20%7D%7D%7B2%7D)
![x=\frac{2\pm\sqrt{-16}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%7B-16%7D%7D%7B2%7D)
![x=\frac{2\pm\sqrt{-1\cdot 16}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%7B-1%5Ccdot%2016%7D%7D%7B2%7D)
Now we will use
.
![x=\frac{2\pm\sqrt{i^2\cdot 16}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%7Bi%5E2%5Ccdot%2016%7D%7D%7B2%7D)
![x=\frac{2\pm 4i}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%204i%7D%7B2%7D)
![x=\frac{2(1\pm 2i)}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%281%5Cpm%202i%29%7D%7B2%7D)
![x=1\pm 2i](https://tex.z-dn.net/?f=x%3D1%5Cpm%202i)
![x=1-2i\text{ or }x= 1+2i](https://tex.z-dn.net/?f=x%3D1-2i%5Ctext%7B%20or%20%7Dx%3D%201%2B2i)
Therefore, other two zeros of function are
.