The equation x^3 + 5x - 10 has only one solution. This solution lies between either

a) -2 and -1

b) -1 and 0

c) 0 and 1

d) 1 and 2

e) 2 and 8

Mr F says: Apply the Intermediate Value Theorem: Properties of Continuous Functions
The polynomial P(x)= x^4 +ax^2 - 4 has zeros at x = 1 and x = -3. The values of a and b are

a) 0

b) 2

c) -2

d) -3

e) 3

Mr F says: 1. There's no b in this question ...... ?? 2. As written, none of the options are correct since P(1) = 0 and P(-2) = 0 give different values of a.
Thanks in advance!!