1 Mark
ANNUAL EXAM PYQS · CHAPTER 02
Polynomials
CBSE Most Repeated PYQs
Solve official Class 9 Annual Examination Questions for Polynomials. Click on options to test yourself, or click "Show Solution & Answer" for complete step-by-step working.
1 Mark
Degree of the constant polynomial 5 is:
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If p(x) = x³ - 3x² + 2x + 1, then p(-1) is:
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Zero of polynomial p(x) = 2x + 5 is:
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Assertion (A): x + 1 is a factor of x³ + 1. Reason (R): If p(-a) = 0, then (x + a) is a factor of p(x).
1 Mark
Assertion (A): Degree of polynomial x⁵ - x⁴ + 3 is 5. Reason (R): Degree of a polynomial is the highest power of the variable.
2 Marks
Find k if x - 1 is factor of 4x³ + 3x² - 4x + k.
2 Marks
Evaluate 103 × 107 using identity.
2 Marks
Factorise: 4x² + 9y² + 16z² + 12xy - 24yz - 16xz.
2 Marks
Find remainder when x³ - ax² + 6x - a is divided by x - a.
2 Marks
Factorise 6x² + 17x + 5 by splitting middle term.
3 Marks
Factorise: x³ - 23x² + 142x - 120.
3 Marks
If x + y + z = 0, show x³ + y³ + z³ = 3xyz.
3 Marks
Evaluate (-12)³ + 7³ + 5³ without calculating cubes.
3 Marks
Verify: x³ + y³ = (x + y)(x² - xy + y²).
4 Marks
Case Study Scenario: Volume of container is V(x) = 3x² - 12x. Question: Find possible dimensions.
4 Marks
Case Study Scenario: Area of rectangular park A(x) = 25a² - 35a + 12. Question: Find length and breadth expressions.
5 Marks
If x² + 1/x² = 27, find x + 1/x and x³ + 1/x³.
5 Marks
Find a and b so (x-1) and (x+2) are factors of x³ + ax² + bx - 6.
5 Marks