Question

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

Answer 1

The answer is A. 2x^3+3x^2+9x+7
Hope this helps!

Answer 2

`2x^3+3x^2+9x+7`

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
`2x^3+3x^2+9x+7` and the remainder is 0.