Review the work showing the first few steps in writing a partial fraction decomposition. StartFraction 2 x squared + 15 x + 19 Over (x + 4) cubed EndFraction = StartFraction A Over x + 4 EndFraction + StartFraction B Over (x + 4) squared + StartFraction C Over (x + 4) cubed EndFraction

2x2 + 15x + 19 = A(x + 4)2 + B(x + 4) + C

2x2 + 15x + 19 = Ax2 + 8Ax + 16A + Bx + 4B + C

Which system of equations can be used to determine the values of A, B, and C?

Step-by-step explanation:

Given

Required

Find A, B and C

Rearrange the expression

To do this, we simply compare the expressions on both sides of the equation.

So, we have:

--- (1)

--- (2)

--- (3)

Divide both sides by x² in (1)

Divide both sides by x in (2)

Substitute 2 for A.

Make B the subject

Substitute 2 for A and -1 for B in (3)

Make C the subject

the answer is d. (1.2, -4.7) on edgn

hope this !

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b