exam Maths Puzzle Numerical Ability

what is a polynomial?

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Please help me figure the following problem out. Thank you

One leg of a right triangle is 6 cm longer than the other leg. The length of the hypothenuse of the triangle is 18 cm. Find the length of the two legs?
simplify please:(X^3+2x^2+x+12)... i know the answer is :(x^2-x+4)(x+3).. i need the step by step procedure please...i got this from tutors answers