True or false polynomial question?

True or false the polynomial x^2+x-20 is entirely negative on the interval (-5,4)?True or false polynomial question?
falseTrue or false polynomial question?
True


since -5 and 4 are not included (I'm assuming the round brackets mean that it's an open interval), for anyvalue you put, you'll get a negative value
True. It has zeroes at -5 and 4, and is negative between them.
True !!!


x虏+x-20 = (x+5)(x-4) and the first factor x+5 is %26gt;= 0 if x%26gt;=-5, and the second factor x-4 is %26lt;= 0 if x%26lt;=4, so for -5%26gt;x%26gt;4, we have positive * negative = negative !
True....
Evaluate x^2+x-20 from -5 to 4 in steps of 1. You can verify that for yourself.
false
If you put x =4 you get 4*4 + 4 - 20 = 16+4-20 =20-20 = 0, so it's not negative there. But if 4 is not included in the interval and -5 either (the solution is also 0 for -5) that would be correct.