book Maths Puzzle Numerical Ability

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

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book Other Question

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
7+7x7-7 divided by=
(the answers are.....13, 55, 7, or none of these)