book Maths Puzzle Numerical Ability

why do we factor first when solving a quadratic equation.

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book Other Question

for the pair of functions defined, find f+g, f-g, fg, and f/g. give the domain of each. probelm; f(x)=6-3x,g(x)=-4+1... Thanks so much! is -4/-17 =<> than -5/2