exam Maths Puzzle Numerical Ability

Can you please help me understand step by step how factoring is done?
My directions say to factor completely.
3x^2 – 2x – 8
Thank you
Patti

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exam Other Question

I need to rationalize the denominator of 5 over (7- radical 14). I get 1+ (radical 14 over 7). Is this the same as (7 + radical 14) over 7? Since 7/7 is 1, it should be equivalent. (x^3+2x^2+x+12)/(x+3)