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26-04-2017
Mathematics

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identify the roots f(x)=3x^2-27

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26-04-2017

factour ouf 3
f(x)=3(x²-9)
recognize diference of 2 perfect squres

a²-b²=(a+b)(a-b)
x²-9=x²-3²=(x+3)(x-3)

so
f(x)=3(x+3)(x-3)
seto to zero to find roots
0=3(x+3)(x-3)

0=x+3
-3=x

0=x-3
3=x

roots at x=-3 and 3

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