To perform this check, you must use the following theorem:
is a lower bound for the zeroes of
if, when divide
by
, the quotient and the remainter alternate signs.
Since the long division yields the result
![\dfrac{x^4+x^3-11x^2-9x+18}{x+1}=x^3-11x+2+\dfrac{16}{x+1}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E4%2Bx%5E3-11x%5E2-9x%2B18%7D%7Bx%2B1%7D%3Dx%5E3-11x%2B2%2B%5Cdfrac%7B16%7D%7Bx%2B1%7D)
You can see that the signs don't alternate (the last two terms are positive). So, -1 is not a lower bound.
In fact, the actual roots of the polynomial are -3, -2, 1, 3, so as you can see there are roots smaller than -1.
Answer:
Step-by-step explanation:
(7^0/7^5)^1/5
= (1 / 7^5)^ 1/5
= (7^-5)^1/5
= 7^-1
= 1/7 is the correct answer.
Answer:
7.5 feet
Step-by-step explanation:
large over small=64/27
r:4/3
4/3=10/h
4h=30
h=30/4
h=7.5 feet
Answer:
5 dogs
1 1/4 cups per bottle
Step-by-step explanation:
10/3 ÷ 2/3 get solved by 10/3 x 3/2, which gives you 30/6 or 5
45/8 ÷ 9/2 is 45/8 x 2/9 which is 5/4 or 1 1/4