exam Maths Puzzle Numerical Ability

can someone explain to me why are polynomials important?

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exam Other Question

Subtract
4x^2 - 5x from the sum of 9x^2 - 2 and 6x - 1.

This is my answer is it right?
-5x^2 - x + 1
-2x <-8 and x-5 <5

please help