What are the roots of the polynomial equation x cubed minus 10 x = negative 3 x squared + 24? use a graphing calculator and a system of equations.
–24, –3, 12
–12, 3, 24
–4, –2, 3
–3, 2, 4

Option C: -4, -2, 3 are the roots of the polynomial.

Explanation:

The equation is

Now, Adding on both sides, we have,

Subtracting 24 from both sides of the equation, we have,

Solving the equation using synthetic division, we have,

Now, we shall factor , we have,

Thus, we have,

Solving each factor, we have,

 and    and  

Thus, the roots are -2,3 and 4.

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

25% is the answer