1)Find a quadratic polynomial whose one zero is 2 and product of zeroes is 12. (ans. x^2-8x+12)
2)Find a quadratic polynomial whose one zero is 6 and sum of zeroes is -11. (ans. x^2+11x-102)
3) If A,B are the zeroes of the polynomial 2x^2+5x-6.Then find the value of A+B+AB (ans. -11/2)
4)If A,B are the zeroes of the polynomial 5x^2-3x-1. Then find the value of 1/A+1/B+2 (ans. -1)
5)Find a cubic polynomial whose zeroes are 0 , 2/3 , -2/3. (ans.9x^3-4x)
6) Find a cubic polynomial whose zeroes are 2 , -3 and 5. (ans. X^3-4x^2-11x+30)
7)Divide 3x^2-x ^3-3x+5 by x-1-x^2 and verify the division algorithm.
8)Find all the zeroes of polynomials x^4+x^3-9x^2-3x+18 , if it is given that two of its zeroes are – √ 3 and √ 3. (ans. – √ 3 ,√ 3 , -3 , -2 )
9)If the zeroes of the polynomial x^3- 3x^2+ x+ 1 are a-b , a+b , find a and b. (ans a=1 , b=+- √ 2 )
10)On dividing 6x^3+8x^2-3x+8 by a polynomial g(x) the quotient and remainder were 3x+4 and 6x+20 respectively , find g(x). ( ans. 2x^2 -3x-3)

POSTED BY:
PARAS JAIN