The polynomial 8𝑥
3 + 𝑎𝑥
2 + 𝑏𝑥 − 1, where 𝑎 𝑎𝑛𝑑 𝑏 are constants is
denoted by P(x). It is given that (𝑥 + 1) is a factor of 𝑃(𝑥) and that when
the polynomial is divided by (2𝑥 + 1), the remainder is 1.
(i) Find the values of a and b.
(ii) When a and b have these values, factorize P(x) completely.
9. (a) Find the possible number of ways of arranging the letters of the
word DIFFERENTIATION in a line.
(b) A committee of 5 people is to be chosen from 4 men and 6 women.
Wilson is one of the 4 men and Martha is one of the 6 women. Find
the number of different committees that can be chosen if Wilson
and Martha refuse to be on the committee together.
HOW TO OPEN FILE
Once the download is complete, navigate to the location where you saved the file. You can now open and use the file as needed.
Thank you for choosing Exinet Academy as your educational resource. We wish you the very best in your studies and future endeavors. Feel free to explore our website for more useful materials, and don't hesitate to let us know if there's anything else we can do to support you.
#xnetAcademy
The polynomial 8𝑥
3 + 𝑎𝑥
2 + 𝑏𝑥 − 1, where 𝑎 𝑎𝑛𝑑 𝑏 are constants is
denoted by P(x). It is given that (𝑥 + 1) is a factor of 𝑃(𝑥) and that when
the polynomial is divided by (2𝑥 + 1), the remainder is 1.
(i) Find the values of a and b.
(ii) When a and b have these values, factorize P(x) completely.
9. (a) Find the possible number of ways of arranging the letters of the
word DIFFERENTIATION in a line.
(b) A committee of 5 people is to be chosen from 4 men and 6 women.
Wilson is one of the 4 men and Martha is one of the 6 women. Find
the number of different committees that can be chosen if Wilson
and Martha refuse to be on the committee together.
- Version
- Download 544
- File Size 338.29 KB
- File Count 1
Exinet Academy