The work shows the first steps for writing a partial fraction decomposition.
StartFraction 4 x cubed minus 5 Over (2 x squared + 1) squared EndFraction = StartFraction A x + B Over (2 x squared + 1) EndFraction + StartFraction C x + D Over (2 x squared + 1) squared EndFraction
4 x cubed minus 5 = (A x + B) (2 x squared + 1) + C x + D. 4 x cubed minus 5 = 2 A x cubed + A x + 2 B x squared + B + C x + D
Which equations can be used in a system of equations to solve for the unknowns. Check all that apply.
A = 0
B = 0
D = –5
A + C = 0
2A + 2B = 4
