Isla is dividing 3 x cubed plus x squared minus 12 x minus 4 by x plus 2 using a division table. Isla's Work Quotient Divisor 3 x squared negative 5 x negative 2 x 3 x cubed negative 5 x squared negative 2 x plus 2 6 x squared cap A cap b What are the missing values in the table?
Answer
A
cap A is equal to negative 10 x ; cap b is equal to 0
B
cap A is equal to negative 3 x ; cap b is equal to 0
C
cap A is equal to negative 10 x ; cap b is equal to negative 4
D
cap A is equal to negative 3 x ; cap b is equal to negative 4
Explanation
In the division table, multiply each quotient term by the 2 in the divisor x + 2. The missing entries are 2(−5x) = −10x and 2(−2) = −4. Therefore, cap A is −10x and cap b is −4, which is choice C.
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