Isiah is dividing 2x3 - x2 + 2x + 5 by x + 1 using a division table. His work is shown here. Isiah is dividing 2x3 – x2 + 2x + 5 by x + 1 using a division table.

His steps are shown.

Step 1: Isiah considers what we can multiply x by to get 2x3.

Quotient
2x2
Divisorx2x3
+ 1
Step 2: Isiah then multiples 2x2 by +1 in the divisor to fill out the first column.

Quotient
2x2
Divisorx2x3
+ 12x2
Step 3: The second term of the original polynomial is –x2, so Isiah knows that the 2x2 in the first column will be added to the term created in the second column to get –x2.

Quotient
2x2–3x
Divisorx2x3–3x2 2x2 + (–3x2) = –x2
+ 12x2
Step 4: Isiah multiplies –3x and +1 to complete the second column.

Quotient
2x2–3x
Divisorx2x3–3x2
+ 12x2–3x
Step 5: The third term of the original polynomial is +2x, so Isiah knows that the –3x in the second column will be added to the term created in the third column to get 2x.

Quotient
2x2–3x?
Divisorx2x3–3x2?x–3x + ?x = 2x
+ 12x23xA
What is the value of A?