If you get 0 as the last value in the bottom row, then the binomial is a factor of the dividend.
Let's say the binomial is of the form (x-k) and it multiplies with some other polynomial q(x) to get p(x), so,
p(x) = (x-k)*q(x)
If you plug in x = k, then,
p(k) = (k-k)*q(k)
p(k) = 0
The input x = k leads to the output y = 0. Therefore, if (x-k) is a factor of p(x), then x = k is a root of p(x).
It turns out that the last value in the bottom row of a synthetic division table is the remainder after long division. By the remainder theorem, p(k) = r where r is the remainder after dividing p(x) by (x-k). If r = 0, then (x-k) is a factor, p(k) = 0, and x = k is a root.
Answer:
25 mm^2
Step-by-step explanation:
Because the sides of a square are all equal, that means the length = 5 and the width = 5.
To find the area, you do length * width so for this square it would be 5 * 5 = 25.
A there is one outlier that indicates an unusually large number of players on that team
Answer:
It is a function
Step-by-step explanation:
It is a function because each input corresponds to exactly one output.