day9.polynomial long division.notebook
September 19, 2016
Topic: Polynomial Operations
Aim: How do we use the reverse tabular method &
polynomial long division polynomials? (2 day lesson)
HW: WS 2-8 even (show all work on LL and use pencil)
DO NOW:
1)
How do we divide a polynomial by a binomial using the
"reverse tabular" method?
3) x2 + 13x + 40
x + 8
Explain your answer using the rules of division.
2) Multiply using the tabular method:
(x + 5)(x + 8)
4) Use the reverse tabular method to find the quotient: 2x2 + x ­ 10
Lets try another strategy!
x ­ 2
5) Find the quotient WITHOUT your calculator:
48,047 ÷ 23
Find each quotient using the Long Division Method:
6) (x3 + 5x2 + 7x + 3) ÷ (x + 3)
6) (x3 + 5x2 + 7x + 3) ÷ (x + 3)
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day9.polynomial long division.notebook
September 19, 2016
7) (7x3 - 8x2 - 13x + 2) ÷ (7x - 1)
Steps:
1) Divide first term of the divisor into the dividend.
What happens if terms are missing?
8) (x3 - 27) ÷ (x - 3)
**Make sure it is lined up in the appropriate colulmn
according to the exponent**
2) Multiply and subtract. **Be sure to distribute neg**
3) Bring down the next term and repeat process
4) You can check by multiplying the quotient by the
divisor.
9) Is x + 3 a factor of the polynomial x2 + 9?
Explain your answer using long division algorithm.
Write the quotient.
10) Divide:
(2x4 + 14x3 + x2 - 21x - 6)
2x2 - 3
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day9.polynomial long division.notebook
September 19, 2016
The Reverse Tabular Method may be faster when
working with polynomials with many missing terms.
Both should give the same answer!
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