Which of the following is a polynomial with roots negative square root of 5, square root of 5, and 3? a. x^3 - 3x^2 - 5x + 15 b. x^3 + 2x^2 - 3x - 6 c. x^3 - 2x^2 - 3x + 6

The correct answer is A) x^3 - 3x^2 - 5x + 15

In order to solve this, we start by factoring using a method called splitting. To do so, we only look at the front two terms to start and take out the greatest common factor.

x^3 - 3x^2

x^2(x - 3)

Now we do the same for the second half (the last two terms).

-5x + 15

-5(x - 3)

Since the left over parenthesis is the same in both cases, we can use that along with the greatest common factors in a set of parenthesis, which is the factored form.

(x^2 - 5)(x - 3)

Now to find the root, we set each of these equal to 0.

x - 3 = 0

x = 3

x^2 - 5 = 0

x^2 = 5

x = +/-

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.