6.3 DAY 2 USE THIS SYNTHETIC DIVISION 2015 16 finished 201516.notebookNovember 09, 2015
Algebra II/TrigYOTL: WS 6.3 Day 2WORK ON YOUR LONG DIVISION PROBLEM NOW PLS
November 9, 2015
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Today's TargetI Can...
Divide Polynomials UsingSynthetic Division & Apply the Remainder Theorem
6.3 Day 2 YOTL: WS 6.3 DAY 2A
6.3 DAY 2 USE THIS SYNTHETIC DIVISION 2015 16 finished 201516.notebookNovember 09, 2015
Now for a shortcut called Synthetic Division.
http://www.youtube.com/watch?v=QHx3vPYsdW4&NR=1&feature=fvwp
http://www.youtube.com/watch?v=QHx3vPYsdW4&NR=1&feature=fvwp
http://en.wikipedia.org/wiki/Synthetic_ice
1) Write the polynomial in standard form including any terms that have a zero coefficient.
2) Write the coefficients of the terms (including any that are zero). 3) Reverse the sign of the constant in the divisor.
4) Bring down the first coefficient.
5) Multiply the 1st coefficient by the new divisor (from step 3), write the product under the next coefficient and add.
6) Repeat steps 4-5 until a remainder is found (it might be zero)
Divide 3x3 - 4x2 + 2x - 1 by x + 1Synthetic Division Ex. 1
6.3 DAY 2 USE THIS SYNTHETIC DIVISION 2015 16 finished 201516.notebookNovember 09, 2015
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Use synthetic division to divide (5x3 - 6x2 + 4x - 1) by (x -3)
Ex. 2
6.3 DAY 2 USE THIS SYNTHETIC DIVISION 2015 16 finished 201516.notebookNovember 09, 2015
Now go back to Ex 1 and sub in 1
(evaluate the poly for x = 1)
3x3 - 4x2 + 2x - 1
Now go back to Ex 2 and sub in 3
(evaluate the poly for x = 3)
(5x3 - 6x2 + 4x - 1)
6.3 DAY 2 USE THIS SYNTHETIC DIVISION 2015 16 finished 201516.notebookNovember 09, 2015
Use Synthetic Division to find P(-4) for P(x) = x4 - 5x2 + 4x + 12
Ex. 3
Remainder Theorem: If you divide a polynomial by (x - a), the remainder of the quotient is equal to the value of the polynomial evaluated at a.
Since the remainder of 5x3 - 6x2 + 4x - 1 by (x - 3) was 92, 5x3 - 6x2 + 4x - 1 = 92 when x = 3.
6.3 DAY 2 USE THIS SYNTHETIC DIVISION 2015 16 finished 201516.notebookNovember 09, 2015
The volume in cubic feet of a sarcophagus (excluding the cover) can be expressed as the product of its 3 dimensions.
The length is x + 4. Find linear expressions with integer coefficients for the other dimensions. Assume that the width > the ht.
Ex 4.
A sarcophagus is a work of art created to honor a loved one or someone famous. Sometimes they are decorated with elaborate inscriptions and ornaments.
6.3 DAY 2 USE THIS SYNTHETIC DIVISION 2015 16 finished 201516.notebookNovember 09, 2015
The volume in cubic feet of a sarcophagus (excluding the cover) can be expressed as the product of its 3 dimensions.
The length is x + 4. Find linear expressions with integer coefficients for the other dimensions. Assume that the width > the ht.
YOTL: WS 6.3 DAY 2A
6.3 DAY 2 USE THIS SYNTHETIC DIVISION 2015 16 finished 201516.notebookNovember 09, 2015
FOR CANDY:
1st group!
6.3 DAY 2 USE THIS SYNTHETIC DIVISION 2015 16 finished 201516.notebookNovember 09, 2015
Divide 3x3 - 4x2 + 2x - 1 by x + 1USE LONG DIVISION:
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