Answer:
Yes.
Step-by-step explanation:
You can find it out by factoring but ill do it easier way.
(x + 1 ) = 0 put the first and second equation to 0
x = -1
x³ + 2x² - 5x - 6 = 0 Now plug in the x in the equation
(-1)³ + 2(-1)² - 5(-1) - 6 = 0
0 = 0
so (x + 1) is a factor.
Answer:
a₄=8n+1= -39.
Step-by-step explanation:
1) if a₁=3n; a₃=5n-6 and a₅=11n+8, then it is possible to calculate the difference according to 0.5(a₅-a₃)=0.5(a₃-a₁). Then
2) 0.5(11n+8-5n+6)=0.5(5n-6-3n); ⇔ 6n+14=2n-6; ⇔ n= -5.
3) if n=-5, then the 4th term is:
or a₄=-39.
An interesting question! Let's take a look at the rectangular prism first.
[Rectangular Prism]
We know that the formula for the volume of a rectangular prism is:
volume = length * width * height
or more simply
V = L*W*H
All we know is that the volume is 210 cubic meters. We can choose whatever we want for the dimensions to force it to work! We're free to do what we want!
210 = L*W*H
I like 10, that's a nice number. Let's make L = 10.
210 = 10*W*H
Hmm... but now I need W*H to be 21 (think about it, make sure you get why I say that). Well, how about W = 7 and H = 3? That should work.
210 = 10*7*3
It checks! Possible dimensions for the rectangular prism are L = 10 meters, W = 7 meters, and H = 3 meters. There are many other choices of course, but this is a possible choice.
[Triangular Prism]
Same idea, different formula. For a triangular prism, the volume is
V = 1/2 * L*W*H
But the volume is still 210 cubic meters, so we just have
210 = 1/2 * L*W*H
So, one of our dimensions is going to be cut in half. Why don't we just double L to make up for it?
210 = 1/2*(20)*W*H
And we can leave W and H the same
210 = 1/2*20*7*3
Check that it works! A possible choice is L = 20 meters, W = 7 meters and H = 3 meters.
We're done!
Answ#$%^&* Im just joking but is that the hole Question thank you
Step-by-step explanation:
Answer:
Step-by-step explanation:
We are given information about polynomial as
a root of 1 with multiplicity 2
so, one of factor is (x-1)^2
a root of 6 with multiplicity 1
so, another factor is (x-6)^2
so, we can write polynomial as
now, we can simplify it
So, we get polynomial as
