Answer:
{-2, 1, 2}
Step-by-step explanation:
F(x) = x³ - x² - 4x + 4 is factorable as follows:
F(x) = x²(x - 1) - 4(x - 1). (x - 1) is a common factor. Factor it out:
F(x) = (x - 1)(x² - 4)
x² - 4 can be factored further:
F(x) = (x - 1)(x - 2)(x + 2)
The possible roots of F(x) are {-2, 1, 2}.
With functions, you take the number that is in the ( ), so we have f(-2), and take the fomula f(x) = 0.8(2 – x) and everywhere you see an 'x' replace it with the -2 f(–2)=0.8(2 – (-2))
We will have to work with the expression of 0.8(2-(-2) When you want to evaluate these types of expressions, you want to use the Order of Operations: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. First we have to evaluate the parentheses. What is 2-(-2)
its 4.
ok now you got 0.8 (4)
Now we have the remains of 0.8(4). If a number is within the parenthesis, then it means that we have to multiply the number inside with the number that is outside. What is 0.8*4 its 3.2 soooo your answer is going to be
3.2
As it has been given that 
, 
.
We need to find the value of the following:
(i) 
, substituting the value of 'x' and 'y' in the expression, we get:
So, 
(ii) 
, substituting the value of 'x' and 'y' in the expression, we get:
So, 
(iii) 
, we need to substitute the value of 'x' and 'y' in the expression, for this, we can use distributive property of multiplication that says,
Using the distributive property of multiplication:
Now, we know that 
We get, 
Therefore, =
.
(iv) We have, 
, we need to substitute the value of 'x' and 'y' in the expression, we get:
Again, we can use distributive property of multiplication that says,
So,
since, 
we get,
Therefore,
14. 128
15.25
16.90
those should be right
