Day 1 Use long division to find (x 2 – 2x – 15) ÷ (x – 5).
16
5.2 Polynomial Division
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Transcript of Day 1 Use long division to find (x 2 – 2x – 15) ÷ (x – 5).
![Page 1: Day 1 Use long division to find (x 2 – 2x – 15) ÷ (x – 5).](https://reader035.fdocuments.in/reader035/viewer/2022081516/5697bfea1a28abf838cb73df/html5/thumbnails/1.jpg)
5.2 Polynomial Division
![Page 2: Day 1 Use long division to find (x 2 – 2x – 15) ÷ (x – 5).](https://reader035.fdocuments.in/reader035/viewer/2022081516/5697bfea1a28abf838cb73df/html5/thumbnails/2.jpg)
Day 1 Long Division
![Page 3: Day 1 Use long division to find (x 2 – 2x – 15) ÷ (x – 5).](https://reader035.fdocuments.in/reader035/viewer/2022081516/5697bfea1a28abf838cb73df/html5/thumbnails/3.jpg)
To divide a polynomial by a
monomial, divide each term in the
numerator by the term in the
denominator.
![Page 4: Day 1 Use long division to find (x 2 – 2x – 15) ÷ (x – 5).](https://reader035.fdocuments.in/reader035/viewer/2022081516/5697bfea1a28abf838cb73df/html5/thumbnails/4.jpg)
![Page 5: Day 1 Use long division to find (x 2 – 2x – 15) ÷ (x – 5).](https://reader035.fdocuments.in/reader035/viewer/2022081516/5697bfea1a28abf838cb73df/html5/thumbnails/5.jpg)
Recall long division
![Page 6: Day 1 Use long division to find (x 2 – 2x – 15) ÷ (x – 5).](https://reader035.fdocuments.in/reader035/viewer/2022081516/5697bfea1a28abf838cb73df/html5/thumbnails/6.jpg)
Now apply to polynomials
Use long division to find (x2 – 2x – 15) ÷ (x – 5).
![Page 7: Day 1 Use long division to find (x 2 – 2x – 15) ÷ (x – 5).](https://reader035.fdocuments.in/reader035/viewer/2022081516/5697bfea1a28abf838cb73df/html5/thumbnails/7.jpg)
to (a2 – 5a + 3)(2 – a)–1
![Page 8: Day 1 Use long division to find (x 2 – 2x – 15) ÷ (x – 5).](https://reader035.fdocuments.in/reader035/viewer/2022081516/5697bfea1a28abf838cb73df/html5/thumbnails/8.jpg)
(4y3 − 6y2 + 4y − 1) ÷ (2y − 1)
![Page 9: Day 1 Use long division to find (x 2 – 2x – 15) ÷ (x – 5).](https://reader035.fdocuments.in/reader035/viewer/2022081516/5697bfea1a28abf838cb73df/html5/thumbnails/9.jpg)
Use long division to find (4x2 + 8x + 5) ÷ (2x + 3).
![Page 10: Day 1 Use long division to find (x 2 – 2x – 15) ÷ (x – 5).](https://reader035.fdocuments.in/reader035/viewer/2022081516/5697bfea1a28abf838cb73df/html5/thumbnails/10.jpg)
Day two Synthetic Division
![Page 11: Day 1 Use long division to find (x 2 – 2x – 15) ÷ (x – 5).](https://reader035.fdocuments.in/reader035/viewer/2022081516/5697bfea1a28abf838cb73df/html5/thumbnails/11.jpg)
![Page 12: Day 1 Use long division to find (x 2 – 2x – 15) ÷ (x – 5).](https://reader035.fdocuments.in/reader035/viewer/2022081516/5697bfea1a28abf838cb73df/html5/thumbnails/12.jpg)
Use synthetic division to find (x3 – 4x2 + 6x – 4) ÷ (x – 2).
![Page 13: Day 1 Use long division to find (x 2 – 2x – 15) ÷ (x – 5).](https://reader035.fdocuments.in/reader035/viewer/2022081516/5697bfea1a28abf838cb73df/html5/thumbnails/13.jpg)
Use synthetic division to find (x2 + 8x + 9) ÷ (x + 1).
![Page 14: Day 1 Use long division to find (x 2 – 2x – 15) ÷ (x – 5).](https://reader035.fdocuments.in/reader035/viewer/2022081516/5697bfea1a28abf838cb73df/html5/thumbnails/14.jpg)
(3c4 + 6c3 - 2c + 4)(c + 2)-1
![Page 15: Day 1 Use long division to find (x 2 – 2x – 15) ÷ (x – 5).](https://reader035.fdocuments.in/reader035/viewer/2022081516/5697bfea1a28abf838cb73df/html5/thumbnails/15.jpg)
Use synthetic division to find (4y3 – 6y2 + 4y – 1) ÷ (2y – 1).
Divide the numerator and denominator by the leading coefficient
![Page 16: Day 1 Use long division to find (x 2 – 2x – 15) ÷ (x – 5).](https://reader035.fdocuments.in/reader035/viewer/2022081516/5697bfea1a28abf838cb73df/html5/thumbnails/16.jpg)
(6 𝑦2– 5 𝑦 – 15)(2 𝑦+3)–1