exam Maths Puzzle Numerical Ability

How do you use the Rational Zero Theorem properly?

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I could use some help in understanding this problem from a homework sheet. If f(x)=x^2+2x,find f(-1). thank you. can anyone help with this problem?:Hooks law states that the distance a spring stretches varies directly as the weight on the spring increases. A weight of 12 pounds strecthes a spring 1.5 inches. how far will a weight of 64 pounds stretch the spring?