Divide the following polynomials, then place the answer in the proper location on the grid. Use synthetic division. Write the answer in descending powers of x.

(3x2 + 7x - 18) (x - 3)

The answer for the given polynomial by synthetic division is 3x+16 + (30 / (x-3)).

Step-by-step explanation:

The given polynomial is (3x^2 + 7x - 18) divided by (x - 3)

Take (x-3) = 0, then x=3

3 | 3 7 - 18

9 48

3 16 30

step 1: write the coefficients of x^2, x and constant in first row. The divisor 3 is written separately on outside.

step 2: Write down the coefficient of x^2 = 3 in the answer row as it is without any change.

step 3: Multiply each number in the answer row with the divisor and fill the answers in the second row.

step 4: The final step is to add the first row and second row. After addition, the answers are written in answer row and the last number in the answer row is the Remainder.

step 5: The remainder is written by dividing it with the divisor (x-3). The answer in the descending powers of x is 3x + 16 + (30 / (x-3)).