Answer:
1,3,5
Step-by-step explanation:
The remainder theorem lets you find the remainder when a polynomial is divided by a linear function like the above, without actually doing the division.
It states that when the polynomial f(x) is divided by x - a then the remainder is f(a)
Applying it to the items in your question x - a = x + 2 so -a = 2 and so a = -2 :-
f(-2) = 2(-2)^3 - 3(-2)^2 - 5(-2) + 23 = 5 so the remainder will be 5.
Note if the remainder had been 0 then x + 2 would have been a factor of f(x). This process can be used to find if x - a is a factor.
She could use a pyramid mold or a cube mold. This is because the bases
of those shapes are squares, even thought the actual figure is not.
Think of the pyramids in Egypt, they look triangular, but the base is
square. I'm sure there are more possible molds that you could use, but
those are just a few of the simple ones. I hope this helps! :)
The correct answer is the Option C, which is:
C. G(x)=(x-2)^3
The explanation is shown below:
1. You have the the red graph has the equation F(x)=x^3
2. If you shifted two units to the right, you must add -2 to the function x^3, as below:
G(x)=(x-2)^3
3. If you want to verify this is correct, you need to give values to the variable x and plot each point.
4. You will see that the correct answer is the option mentioned above.