b. \( 2 x+-2+-x+4 x^{2}+7 \)

Let's make this polynomial as tidy as a well-organized closet! Start by combining like terms. You'll have \( 4x^2 \) (the only quadratic term), \( (2x - x) \) which simplifies to \( x \), and \( (-2 + 7) \) giving you \( +5 \). So, the simplified polynomial is \( 4x^2 + x + 5 \). It’s always satisfying to see a clean equation! Ready to take this further? This polynomial does not factor nicely due to its positive discriminant, but you can always use the quadratic formula to find its roots. By diving into the world of quadratics, you could discover the solutions for \( x \) that make the equation equal zero, expanding your mathematical arsenal!