Sid Classes

Polynomial Class 10th DPP 3 (CBSE)

 DPP 3

  1. Find the condition that zeroes of polynomial p(x) = ax2 + bx + c are reciprocal of each other.
  2. Form a quadratic polynomial whose zeroes are 3 + √2 and 3 – √2.
  3. Find a quadratic polynomial, the sum and product of whose zeroes are √3 and 13 respectively.
  4. Find a quadratic polynomial, the sum and product of whose zeroes are 0 and -√2 respectively.
  5. Find the zeroes of the quadratic polynomial √3 x2 – 8x + 4√3.
  6. If the zeroes of the polynomial x2 + px + q are double in value to the zeroes of 2x2 – 5x – 3, find the value of p and q.
  7. Can (x – 2) be the remainder on division of a polynomial p(x) by (2x + 3)? Justify your answer.
  8. Find a quadratic polynomial whose zeroes are 3+55 and 355.
  9. Find the quadratic polynomial whose zeroes are -2 and -5. Verify the relationship between zeroes and coefficients of the polynomial.
  10. Find the zeroes of the quadratic polynomial 3x2 – 75 and verify the relationship between the zeroes and the coefficients



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