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 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
1. –1,7/2, –½
2. 2x2 + 3x – 2
3. m = –3/2, n = –9 
4. Yes 
6. 1, 2, √7, –√7
7. x2 – x + 1
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