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Provide an Appropriate Response x211x+24(x210x+21)(x+7)\frac { x ^ { 2 } - 11 x + 24 } { \left( x ^ { 2 } - 10 x + 21 \right) ( x + 7 ) }

Question 38

Multiple Choice

Provide an appropriate response.
-You are finding the partial fraction decomposition of the expression x211x+24(x210x+21) (x+7) \frac { x ^ { 2 } - 11 x + 24 } { \left( x ^ { 2 } - 10 x + 21 \right) ( x + 7 ) } . You should ...


A) Solve the equation x211x+24=A(x+7) +B(x3) +C(x+7) x ^ { 2 } - 11 x + 24 = A ( x + 7 ) + B ( x - 3 ) + C ( x + 7 )
B) Use long division to divide the numerator by the denominator
C) Solve the equation x211x+24=A(x7) +B(x3) +C(x+7) x ^ { 2 } - 11 x + 24 = A ( x - 7 ) + B ( x - 3 ) + C ( x + 7 )
D) Solve the equation x211x+24=(Ax+B) (x210x+21) +C(x+7) x ^ { 2 } - 11 x + 24 = ( A x + B ) \left( x ^ { 2 } - 10 x + 21 \right) + C ( x + 7 )

Correct Answer:

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