Polynomial Long Division Review and Practice
Polynomial Long Division Review
A)
B)
SYNTHETIC DIVISION:
STEP #1
:Be sure the polynomial is in stardanrd form with
no gaps
STEP #2
:
Solve the Binomial Divisor = Zero (this is just the
opposite of the constant in the divisor)
STEP #3
:
Write the ZERO-value, then all the
COEFFICIENTS of Polynomial.
2
5
-13
10
-8
STEP #4
:
Last Answer is your REMAINDER
Write the coefficient “answers” in descending order starting
with a Degree ONE LESS THAN Original Degree and include
NONZERO REMAINDER OVER DIVISOR at end
2
5
-13
10
-8
5
10
-3
-6
4
8
0 = Remainder
5
-3
4
SAME ANSWER AS LONG DIVISION!!!!
SYNTHETIC DIVISION:
Practice
[1]
[2]
This content provides a detailed review on polynomial long division including step-by-step instructions, examples, and synthetic division practice problems. It covers topics such as descending polynomial order, solving binomial divisors, writing coefficients, determining remainders, and obtaining final answers. The included images further illustrate the processes involved in polynomial long division and synthetic division.
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Presentation Transcript
Polynomial Long Division Review + + 3 2 1 A) y y y ( 6 )( ) 2 + + 3 2 x x x x 5 ( 13 10 ) 8 ( ) 2 B) 18 + y 0 2 + 3 6 y y x + 5 3 4 2 x 2 + + + + 3 2 y y y y 2 6 + + 3 2 x x x x 2 5 13 10 8
SYNTHETIC DIVISION: STEP #1:Be sure the polynomial is in stardanrd form with no gaps Descending Polynomial + + 3 2 x x x x 5 ( 13 10 ) 8 ( ) 2 + + 3 2 Order x x x : 5 13 10 8 STEP #2: Solve the Binomial Divisor = Zero (this is just the opposite of the constant in the divisor) ; 0 2 = = x = = x 2 STEP #3: Write the ZERO-value, then all the COEFFICIENTS of Polynomial. 2 5 -13 10 -8
5 -13 10 -8 10 2 -6 8 5 -3 0 = Remainder 4 STEP #4: Last Answer is your REMAINDER Write the coefficient answers in descending order starting with a Degree ONE LESS THAN Original Degree and include NONZERO REMAINDER OVER DIVISOR at end 5 x x + + 2 3 4 5 -3 4 + + = = 3 2 x x x x 5 ( 13 10 ) 8 ( ) 2 x + + 2 x 5 3 4 SAME ANSWER AS LONG DIVISION!!!!
SYNTHETIC DIVISION: Practice ( ) 12 5 2 + + + + x x x x [1] + + 3 2 ( ) 4 [2] + + + + 4 3 2 x x x x ( 5 13 10 ) ( ) 1
