Read the following passage and answer the questions that follows:
A teacher told 10 students to write a polynomial on the black board.
Students wrote
1. x2 + 2
2. 2x + 3
3. x3 + x2 + 1
4. x3 + 2x2 + 1
5. x2 – 2x + 1
6. x – 3
7. x4 + x2 + 1
8. x2 + 2x + 1
9. 2x3 – x2
10. x4 – 1
(i) How many students wrote cubic polynomial
(ii) Divide the polynomial (x2 + 2x + 1) by (x + 1)
(i) Cubic polynomials are polynomials with a degree of 3. So, from the data given, only 3 polynomials have a maximum degree of 3. Thus, the answer is 3.
(ii) To divide (x2 + 2x + 1) by (x + 1)
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