Answer:
Step-by-step explanation:
This is a third degree polynomial because we are given three roots to multiply together to get it. Even though we only see "2 + i" the conjugate rule tells us that 2 - i MUST also be a root. Thus, the 3 roots are x = -4, x = 2 + i, x = 2 - i.
Setting those up as factors looks like this (keep in mind that the standard form for the imaginary unit in factor form is ALWAYS "x -"):
If x = -4, then the factor is (x + 4)
If x = 2 + i, then the factor is (x - (2 + i)) which simplifies to (x - 2 - i)
If x = 2 - i, then the factor is (x - (2 - i)) which simplifies to (x - 2 + i)
Now we can FOIL all three of those together, starting with the 2 imaginary factors first (it's just easier that way!):
(x - 2 - i)(x - 2 + i) =
Combining like terms and canceling out the things that cancel out leaves us with:
Remembr that , so we can rewrite that as
and
That's the product of the 2 imaginary factors. Now we need to FOIL in the real factor:
That product is
which simplifies down to
And there you go!
Answer:
g(x)=x^2 - 14x+44
Step-by-step explanation:
f(x)=x^2-5,
g(x)=f(x-7)=(x-7)^2-5=
x^2 - 2*x*7+7^2 - 5=
x^2 - 14x+49-5=
x^2 - 14x+44
Answer:
- 0.125
Step-by-step explanation:
Given the equation :
(0.020(5/4) + 3 ((1/5) – (1/4)))
0.020(5/4) = 0.025
3((1/5) - (1/4)) = 3(1/5 - 1/4) = 3(-0.05) = - 0.15
0.025 + - 0.15 = 0.025 - 0.15 = - 0.125
True
False
False
True
(I think)
Formula for the area of a circle: A = πr²
π is approximately 3.14
Solve for the area:
A = (3.14)(8.6)²
A = (3.14)(73.96) or 73.96π
A = 232.2344
Round to the nearest hundredth:
232.2344 → 232.23
Therefore, the area of the circle is 232.23cm² or 73.96π cm²
Best of Luck!