book Maths Puzzle Numerical Ability

If anglesA,B, and C are the sides of a triangle such that sin(A+B)=1/cos(C) and cos(A+B)=cos(C), then show that the triangle is a right triangle

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(x-7) (2)
___=_____
(x-9) (x-9)

I keep coming up with N.S.
use synthetic division to divide the following polynomials:
1) divide 3x^5+13x^4+12x-1 by x+5
2) divide 3x^3-8x^2-20x by x+5