01 · 1 MARK PRACTICE QUESTIONS
Short Answer / Objective Questions
1 MARK
Q1. Find the degree of the zero polynomial.
1 MARK
Q2. If p(x) = 5x² - 3x + 7, evaluate p(-1).
1 MARK
Q3. Check whether x = -1/3 is a zero of p(x) = 3x + 1.
02 · 2 MARKS PRACTICE QUESTIONS
Short Proofs & Calculations
2 MARKS
Q4. Use suitable identity to find the product: (x + 8)(x - 10).
2 MARKS
Q5. Evaluate (105) × (106) without multiplying directly.
2 MARKS
Q6. Find the value of k if (x - 1) is a factor of 2x² + kx + √2.
03 · 3 MARKS PRACTICE QUESTIONS
Intermediate Problem Solving
3 MARKS
Q7. Factorise: 12x² - 7x + 1 by splitting the middle term.
3 MARKS
Q8. Expand (2x - y + z)² using suitable algebraic identity.
3 MARKS
Q9. Evaluate (99)³ using suitable identity.
04 · 5 MARKS PRACTICE QUESTIONS
Long Answer & Cubic Factorisation
5 MARKS
Q10. Factorise the cubic polynomial: p(x) = x³ - 23x² + 142x - 120.
5 MARKS