exam Maths Puzzle Numerical Ability

Explain how synthetic division may be used to find the factors/zeros of a polynomial function and if I can have an example how it is done

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exam Other Question

Please help me with this problem.
Find an expression that completes the identity.
(2sin^2(x)+cos2(x))/(sec(x)) = ?? You have a total of 25 coins, all nickels and quarters. The total value is $3.85. Write and solve a system of equations to find the number of nickels n and the number of quarters q that you have.