exam Maths Puzzle Numerical Ability

My question is if the vertex of f(x)=-x^2+bx+8 has y-coordinate 17 and is in the second quadrant, find b.

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exam Other Question

I need help factoring a polynomial please...I can do it with numbers, but the letters through me off.
a+a^2b^2+a^3b^3

Thanks for your help.
Suppose at the kickoff of a football game, the receiver catches the football at the left side of the goal line and runs for a touchdown diagonally across the field. How many yards would he run? (A football field is 100 yards long and 60 feet wide.)