If -5/2 is a root of that 3rd degree polynomial, then when we do synthetic division on it we will get a remainder of 0, and the resulting numbers from our math will then become the coefficients to a new polynomial, one degree less than what we started with, called the depressed polynomial. Put -5/2 outside the "box" and the coefficients inside: -5/2 (2 7 1 -10). Bring down the
2 and multiply it by -5/2 to get -5. Put that -5 up under the 7 and add to get
2. Multiply that 2 by the -5/2 to get -5. Put that -5 up under the 1 and add to get
-4. Multiply that by -5/2 and get 10. Put that 10 up under the -10 and add to get a remainder of 0. Those bolded numbers now are the coefficients of our new polynomial, one degree less than what we started with. That polynomial is
. Now we need to factor that to find the other 2 roots to our polynomial. If we factor a 2 out we have
,That factors easily to 2(x+2)(x-1). That gives us x+2=0 and x = -2, x-1=0 and x = 1. The 3 solutions or zeros or roots are -5/2, -2, 1. There you go!
Answer:
4 hours and 7 hours
Step-by-step explanation:
Marcus = x hours
Donnell = x + 3 hours
Total = 11 hours
- x + x + 3 = 11
- 2x + 3 = 11
- 2x = 8
- x = 4
So Marcus practiced 4 hours and Donnell practiced 7 hours
Answer:
1
Step-by-step explanation:
Answer:
R = rows
C = columns
The chairs will be arranged in a way such that R * C 70
We know that R 20
70 / 20 = 3.5; however, you can't have half of a chair.
So find all the factors of 70 which don't exceed 20.
1, 70
2, 35
<h2>
5, 14</h2><h2>
7, 10</h2><h2>
</h2><h2>There are four ways that Brooke can set up the chairs:</h2><h2>5 rows of 14</h2><h2>7 rows of 10</h2><h2>10 rows of 7</h2><h2>14 rows of 5</h2>
Answer:
Your answer is -4
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