The polynomial p(x) = x ^ 3 + 7x ^ 2 - 36 has a known factor of (x+3) Rewrite mathcal P (X) as a product of linear factors

P(X) = (x - 2) (x + 3) (x + 6)

Step-by-step explanation:

We are given the polynomial as;

p(x) = x³ + 7x² - 36

We are told that a known factor is (x + 3),thus, using long division method, i have attached the steps used to get the other factor which is x² + 4x - 12

Now, using quadratic formula, we can further simplify x² + 4x - 12 to get factors of (x - 2) and (x + 6)

Hence, the new mathcal P (X) as a product of linear factors is;

P(X) = (x - 2) (x + 3) (x + 6)

she played for 18.75 hours.

step-by-step explanation:

if she played 2/4 of a hour on tuesday. and there is 60 minutes in an hour and 60 divided by 4 is 7.5. and she played 2/4 of an hour on thursday then again 60 divided by 4 is 7.5, you add 7.5+7.5=56.25. now you have to do 1/4 of an hour, it equals 3.75. now you have to add them all up. 3.75+7.5+7.5=18.75

i hope this and i hope you get it right. it took me a while to get this done for you. : )

step-by-step explanation: