exam Maths Puzzle Numerical Ability

Explain why the rules of multiplication hold:

-(-) = +
+(+)=+
-(+)=-
+(-)=-

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exam Other Question

Find the quotient and remainder of f(x) = x3 -4x2 +5x +5 divided by p(x) = x-1

please show me how you did this. Thank you
solve for a:

16a^4 - 9a^2 = 0