exam Maths Puzzle Numerical Ability

Can someone help me out answer these two questions and if you can only provide me also where you found your answer...thanks

question #1

Why are polynomials important?


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exam Other Question

(2sin x)(cos x)= the square root of three sin x Find the length of each side of the rectangle so that it has the given perimeter.
Note: Perimeter = 2*length + 2*width
Length= 2x-5
Width= x

p=50 in.