Post-Chapter Assessment
Chapter 3: Polynomials
Pattern: 20 questions × 1 mark = 20 marks. Choose the correct option for each question.
1. Which of the following is a polynomial in \(x\)?
Answer: B
2. The degree of \(5x^3 - 2x^2 + 7x - 4\) is:
Answer: B
3. A polynomial of degree 2 is called:
Answer: C
4. The value of \(p(x) = x^2 - 2x - 3\) at \(x = 1\) is:
Answer: C
5. A real number \(k\) is a zero of \(p(x)\) if:
Answer: B
6. The zero of \(2x + 5\) is:
Answer: B
7. The graph of a linear polynomial \(y = ax + b\), \(a \neq 0\), is:
Answer: C
8. The zeroes of a polynomial are the x-coordinates of the points where its graph:
Answer: B
9. The polynomial \(x^2 - 3x - 4\) has zeroes:
Answer: B
10. A quadratic polynomial can have at most:
Answer: B
11. If the zeroes of \(ax^2 + bx + c\) are \(\alpha, \beta\), then \(\alpha + \beta\) is:
Answer: B
12. If the zeroes of \(ax^2 + bx + c\) are \(\alpha, \beta\), then \(\alpha\beta\) is:
Answer: C
13. The sum of the zeroes of \(x^2 + 7x + 10\) is:
Answer: B
14. The product of the zeroes of \(2x^2 - 8x + 6\) is:
Answer: B
15. A cubic polynomial can have at most:
Answer: C
16. If \(\alpha, \beta, \gamma\) are zeroes of \(ax^3 + bx^2 + cx + d\), then:
Answer: B
17. If \(p(x)\) is divided by \(x - a\), the remainder is:
Answer: C
18. In the division algorithm for polynomials:
Answer: B
19. When a polynomial is divided by a polynomial of degree 2, the degree of the remainder must be:
Answer: C
20. If the remainder is zero when \(p(x)\) is divided by \(g(x)\), then:
Answer: A
Answer Key
| Q. No. | Ans. | Q. No. | Ans. |
|---|---|---|---|
| 1 | B | 11 | B |
| 2 | B | 12 | C |
| 3 | C | 13 | B |
| 4 | C | 14 | B |
| 5 | B | 15 | C |
| 6 | B | 16 | B |
| 7 | C | 17 | C |
| 8 | B | 18 | B |
| 9 | B | 19 | C |
| 10 | B | 20 | A |