First Principles AI

Question 1

Resolve into partial fractions: $\dfrac{2x^2+3x+3}{(x+1)(x^2+1)}$

Question 2

Resolve into partial fractions: $\dfrac{2x+1}{(x-2)(x^2+3x+5)}$

Question 3

Resolve into partial fractions: $\dfrac{2x+32}{(x-2)(x^2+2)^2}$

Question 4

Resolve into partial fractions: $\dfrac{3x^2+3}{x^3+1}$

Question 5

Resolve into partial fractions: $\dfrac{x^4}{x^4+2x^2+1}$

Question 6

Resolve into partial fractions: $\dfrac{6x^4+40x^2}{(4-x^2)(x^2+4)^2}$

Questions