Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form? 2x3 + 18x2 − 18x − 162 = 2(x + k)(x − k)(x + 9)k=

Step-by-step explanation:

Let

We factor 2 to obtain;

We factor the polynomial within the parenthesis by grouping.

We apply difference of two squares on the second factor:

We now compare to;

It is now obvious that

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

15: 24

62.5%

step-by-step explanation: