Question

synthetic division table
-21 | -4 -86 -47 -105 -3 | blank
blank rows for synthetic division steps

Explanation:

Step1: Bring down leading coefficient

$\boldsymbol{-4}$

Step2: Multiply by divisor, add next term

$(-4) \times (-21) = 84$; $-86 + 84 = \boldsymbol{-2}$

Step3: Multiply by divisor, add next term

$(-2) \times (-21) = 42$; $-47 + 42 = \boldsymbol{-5}$

Step4: Multiply by divisor, add next term

$(-5) \times (-21) = 105$; $-105 + 105 = \boldsymbol{0}$

Step5: Multiply by divisor, add next term

$0 \times (-21) = 0$; $-3 + 0 = \boldsymbol{-3}$

Step6: Multiply by divisor, add final term

$(-3) \times (-21) = 63$; $0 + 63 = \boldsymbol{63}$

Answer:

Middle row (left to right): $\boldsymbol{84, 42, 105, 0, 63}$
Bottom row (left to right): $\boldsymbol{-4, -2, -5, 0, -3, 63}$