book Maths Puzzle Numerical Ability

when x^3 + 3x^2 - 2x + 7 is divided by x + 1, the remainder is
a. 7
b. 8
c. 9
d. 11
e. 13

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book Other Question

f(x)=3^X, find the value of X that makes f(x)=17, then explain how you know the answer must be between 2 and 3 Without drawing a graph how can I determine (a) how many x-intercepts the parabola has (b) whether its vertex is above, below or on the x- axis?

y = -x^2 + 2x-1