Using synthetic division, find (2x4 − 3x3 − 20x − 21) ÷ (x − 3).

Answer:
[tex]2x^3+3x^2+9x+7[/tex]
Step-by-step explanation:
Steps involved:
Step 1
Write down the first coefficient without changes
Step 2
Multiply the entry in the left part of the table by the last entry in the result (under the horizontal line).
Then , Add the obtained result to the next coefficient of the dividend, and write the sum.
Step 3
Repeat Step 2
Step 4
Repeat step 2
Step 5
Repeat step 2
We have completed the table and have obtained the resulting coefficients: 2,3,9,7,0.
All the coefficients are the coefficients of the quotient, except the last coefficient , the last coefficient is the remainder.
Thus, the quotient is [tex]2x^3+3x^2+9x+7[/tex] and the remainder is 0.