Polynomials (Class-X)
Assignment 1
1. Find the zeroes of 2x3 – 11x2 + 17x – 6.
2. Find the quadratic polynomial, the sum and the
product of whose zeroes are 1/2,
and –2 .
3. Find the values of m and n for
which x = 2 and –3 are zeroes of the polynomial: 3x2 –
2mx + 2n.
4. Check whether x2 + 4 is factor of x4
+ 9x2 + 20
5. Divide the polynomial (x4 + 1) by (x – 1) and
verify the division algorithm.
6. Find all zeroes of x4 – 3x3
– 5x2 + 21x – 14, if two of its zeroes are √7 and – √7
7. On dividing x3 – 3x2 + x +
2 by a polynomial g(x), the quotient and remainder were x – 2 and –2x + 4
respectively, find g(x).
ANSWERS