Exam Questions & Step-by-Step Markschemes (87 Problems)
Question 1 • 2024
3 Marks
If \alpha and \beta are the zeros of the quadratic polynomial p(x) = 2x^2 - 5x + 7 , find the value of: (i) \alpha^2 + \beta^2 (ii) \frac{1}{\alpha} + \frac{1}{\beta}
Answer: (i) \ -\frac{3}{4} \quad (ii) \ \frac{5}{7}
Question 2 • 2024
3 Marks
If \alpha and \beta are the zeroes of the quadratic polynomial p(x) = 2x^2 - 5x + 7 , evaluate the value of: \frac{\alpha^2}{\beta} + \frac{\beta^2}{\alpha}
Answer: -\frac{85}{28}
Question 3 • 2023
1 Marks
If one zero of the polynomial x^2 + 3x + k is 2 , then the value of k .
Answer: Option (A) : -10
Question 4 • 2024
1 Marks
What should be subtracted from the polynomial x^2 - 16x + 30 , so that 15 is the zero of the resulting polynomial ?
Answer: Option (C) : 15
Question 5 • 2024
1 Marks
What should be added from the polynomial x^2 - 5x + 4 , so that 3 is the zero of the resulting polynomial ?
Answer: Option (B) : 2
Question 6 • 2024
1 Marks
If a polynomial p(x) is given by p(x) = x^2 - 5x + 6 , then the value of p(1) + p(4) is :
Answer: Option (B) : 4