Sullivan Algebra and Trigonometry: Section R.6 Polynomial Division

1
Sullivan Algebra and Trigonometry Section
R.6Polynomial Division

• Objectives of this Section
• Divide Polynomials Using Long Division
• Divide Polynomials Using Synthetic Division

2
Terms and Fundamentals of Division
To check your answer obtained from division,
multiply the quotient by the divisor and add the
remainder. The answer should be the
dividend. (Quotient)(Divisor) Remainder
Dividend
3
(No Transcript)
4
(No Transcript)
5
(No Transcript)
6
(No Transcript)
7
(No Transcript)
8
Check
Thus,
9
Synthetic Division is a process whereby the
quotient and remainder can be determined when a
polynomial function f is divided by g(x) x - c.
Synthetic Division is a shorter version of
polynomial long division where only the
coefficients of each term in the dividend,
divisor, and quotient are written.
10
Use synthetic division to find the quotient and
remainder when
The coefficients of the divisor and dividend are
written as follows
11
(No Transcript)
12
(No Transcript)
13
(No Transcript)
14
(No Transcript)
15
(No Transcript)