exam Maths Puzzle Numerical Ability

Use the Intermediate Value Theorem to determine if P(x)=2x^5-7x+1 has a zero in the interval [1,2].

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exam Other Question

Evaluate f(-3). f(x)={-x^2+2x, x<1
{-2x+3, x>1
refer to the following pattern and answer questions

1=2^1 - 1
1+2=2^2-1
1+2+2^2=2^3-1
1+2+2^2+2^3=2^4-1
1+2+2^2+2^3+2^4=2^5-1

A. Write a simpler expression for 1+2+2^2+2