List all the rational roots of f(x)= 24x^3-10x^2-7x+2

Step-by-step explanation:

For rational roots, ,so

We can look at the factors for the constant term and the term multiplying the highest power to see if we can find candidates possible roots.

Factors of 2:

2, 1

Factors of 24:

24, 12, 6, 2, 4, 1, 2, 3, 8

We divide these factors of the constant term by the factors of the term to give us possible factors.

This gives us a set of:

We check all of these roots, by plugging them into the function to see if that will give us a result of 0.

We find the results that give us 0 are:

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05