An expression to show would be : g/12
we are given
![f(x)=2x^4-x^3+x-2](https://tex.z-dn.net/?f=f%28x%29%3D2x%5E4-x%5E3%2Bx-2)
we can check each options
option-A:
-1,1
we can plug x=-1 and x=1 and check whethet f(x)=0
At x=-1:
![f(-1)=2(-1)^4-(-1)^3+(-1)-2](https://tex.z-dn.net/?f=f%28-1%29%3D2%28-1%29%5E4-%28-1%29%5E3%2B%28-1%29-2)
![f(-1)=0](https://tex.z-dn.net/?f=f%28-1%29%3D0)
At x=1:
![f(1)=2(1)^4-(1)^3+(1)-2](https://tex.z-dn.net/?f=f%281%29%3D2%281%29%5E4-%281%29%5E3%2B%281%29-2)
![f(1)=0](https://tex.z-dn.net/?f=f%281%29%3D0)
so, this is TRUE
option-B:
0,1
we can plug x=0 and x=1 and check whethet f(x)=0
At x=0:
![f(0)=2(0)^4-(0)^3+(0)-2](https://tex.z-dn.net/?f=f%280%29%3D2%280%29%5E4-%280%29%5E3%2B%280%29-2)
![f(0)=-2](https://tex.z-dn.net/?f=f%280%29%3D-2)
At x=1:
![f(1)=2(1)^4-(1)^3+(1)-2](https://tex.z-dn.net/?f=f%281%29%3D2%281%29%5E4-%281%29%5E3%2B%281%29-2)
![f(1)=0](https://tex.z-dn.net/?f=f%281%29%3D0)
so, this is FALSE
option-C:
-2,-1
we can plug x=-2 and x=-1 and check whethet f(x)=0
At x=-2:
![f(-2)=2(-2)^4-(-2)^3+(-2)-2](https://tex.z-dn.net/?f=f%28-2%29%3D2%28-2%29%5E4-%28-2%29%5E3%2B%28-2%29-2)
![f(-2)=36](https://tex.z-dn.net/?f=f%28-2%29%3D36)
At x=-1:
![f(-1)=2(-1)^4-(-1)^3+(-1)-2](https://tex.z-dn.net/?f=f%28-1%29%3D2%28-1%29%5E4-%28-1%29%5E3%2B%28-1%29-2)
![f(-1)=0](https://tex.z-dn.net/?f=f%28-1%29%3D0)
so, this is FALSE
option-D:
-1,0
we can plug x=-1 and x=0 and check whethet f(x)=0
At x=-1:
![f(-1)=2(-1)^4-(-1)^3+(-1)-2](https://tex.z-dn.net/?f=f%28-1%29%3D2%28-1%29%5E4-%28-1%29%5E3%2B%28-1%29-2)
![f(-1)=0](https://tex.z-dn.net/?f=f%28-1%29%3D0)
At x=0:
![f(0)=2(0)^4-(0)^3+(0)-2](https://tex.z-dn.net/?f=f%280%29%3D2%280%29%5E4-%280%29%5E3%2B%280%29-2)
![f(0)=-2](https://tex.z-dn.net/?f=f%280%29%3D-2)
so, this is FALSE
Hi again :)
5b^3(4 - 9b^2)
Use the distributive property
=(5b^3)(4) + (5b^3)(-9b^2)
= 20b^3 - 45b^5
= -45b^5 + 20b^3
Have a nice day!
A negative minus a negative is always a positive ;)
Can u be specific pls , so can u send the picture of the task