Each of these are polynomials. Write them out in “standard form” so that their degree and their coefficients can be easily identified.
\(\displaystyle (x+4)(x+5) \)
\(\displaystyle (x-1)(2x+7) \)
\(\displaystyle (2x-3)(11x-1) \)
\(\displaystyle (5x^3+7x^2-x+6)-(3x^3+6x+1) \)
\(\displaystyle (3x-2)^2-2(5x+1) \)
\(\displaystyle \bigl(8+(4x-1)^2\bigr)^2 \)
\(\displaystyle (x-1)(x)(x+1) \)
\(\displaystyle (2x+1)(3x+1)(4x+1) \)
\(\displaystyle (3-x)(11-x)+2\bigl(x^2-7\bigr) \)
\(\displaystyle \bigl(x^3-x\bigr)\bigl(x^2+5\bigr)+x^5-x^4+4x^3\)
\(\displaystyle -3\bigl(1-x+2x^2\bigr) + 2\bigl(x-5\bigr)\)
\(\displaystyle \tfrac{1}{3}x+\tfrac{2}{3}\bigl(x^2-6x+1)\)
\(\displaystyle \frac{x^3-2(x-1)^2+8}{2}\)
\(\displaystyle \tfrac{4}{3}\bigl(3x^3-6x+x+9\bigr)-\frac{x^3-x}{3}\)