Precalculus 2014
84

 PAGE: 129 SET: Exercises PROBLEM: 84

Divide using synthetic division .

Dividend is .

Divisor is .

The divisor is in the form of  .

where is the root.

Write the terms of the dividend such that the degrees of the terms are in descending order.

Then write just the coefficients as shown below.

Write the constant of the divisor   to the left.

In this case, . Bring the first coefficient, , down.

Multiply the sum,   by  : .

Write the product under the next coefficient, and add :.

Multiply the sum,   by  : .

Write the product under the next coefficient, and add :.

Multiply the sum,   by  : .

Write the product under the next coefficient, and add :.

The remainder is the last entry in the last row.

Therefore, remainder .

The number along the bottom row are the coefficients of the quotient.

Start with the power of  that is one less than the degree of the dividend.

Thus, the quotient is .

.

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