One root of f(x)=x3-9x2+26x-24 is x=2. what are all the roots of the function? use the remainder theorem.

All roots of the given function are, 2 , 3 and 4

Step-by-step explanation:

Given the function f(x) =

Also, it given that x=2 is a root of the function f(x).

So,  (x-2) is a factor of f(x).

Remainder theorem states that if a function is divided by (x-a), then the remainder is equal to f(a). If a function f(a) is equal to 0, therefore a is the root of the function.

We use synthetic method to divide f(x) by (x-2) as also shown in figure below;

To find the roots of the function f(x) equate f(x) = 0.

we have;

By zero product property states that if ab = 0, then either a = 0 or b = 0, or both a and b are 0.

x = 2 , 3 and 4.

Therefore, the roots of the given functions are; 2 , 3 and 4.

b. the decimal could be two-tenths.

step-by-step explanation:

the answer is 510

step-by-step explanation:

15 • 13 = 195

15 • 12 = 180

15 • 5 = 75

12 • 5 = 60

195 + 180 = 375

375 + 75 = 450

450 + 60 = 510