a: \(\dfrac{A}{B}=\dfrac{35x^3+41x^2+13x-14}{5x-2}\)
\(=\dfrac{35x^3-14x^2+55x^2-22x+35x-14}{5x-2}\)
\(=7x^2+22x+7\)
b: A-C
\(=35x^3+41x^2+13x-14-x^4+6x^3-16x^2+22x-15\)
\(=-x^4+41x^3+25x^2+35x-29\)
c: C/D
\(=\dfrac{x^4-6x^3+16x^2-22x+15}{x^2-2x+3}\)
\(=\dfrac{x^4-2x^3+3x^2-4x^3+8x^2-12x+5x^2-10x+15}{x^2-2x+3}\)
\(=x^2-4x+5\)
d: C*B
=(x^4-6x^3+16x^2-22x+15)*(5x-2)
\(=5x^5-2x^4-30x^4+12x^3+80x^3-32x^2-110x^2+44x+75x-30\)
\(=5x^5-32x^4+92x^3-142x^2+119x-30\)
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