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High School Mathematics - 2
12.1 Finding Factors Using Synthetic Division

Synthetic division is a shorthand, or shortcut, method of polynomial division in the special case of dividing by a linear factor (and only works in this case). It is generally used, however, not for dividing out factors but for finding zeroes (or roots) of polynomials.


Example: Divide 3x3 2x2 + 3x 4 by x 3 using synthetic division. Write the answer in the form " q(x) + r(x)/d(x) ".
The remainder is 68 and hence
Answer : 3x2 + 7x + 24 + 68/x-3

Directions: Solve the following.
Q 1:

Q 2:

Q 3:

Q 4: 2x4 3x3 5x2 + 3x + 8 by x 2

Q 5:

Q 6:

Q 7:

Q 8: x2 + 5x + 6 by x-1

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Question 10: This question is available to subscribers only!

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