CBSE 10th Mathematics Worksheet- Polynomials

Answer the following

1. If the zeroes of the polynomial 2x3  – 15x2  + 37x – 30 are a – b, a, a + b, find all the zeroes. 


2. Find the zeroes of the quadratic polynomial 6x2 – 7x – 3 and verify the relationship between the zeroes and the coefficients.


3. If α and β are the zeroes of the quadratic polynomial f(x) = 2x2  - 5x + 7, then find a quadratic polynomial whose zeroes are 2α + 3β and 3α + 2β 


4. Find all the zeroes of the polynomial  2x4 − 9x3 + 5x2 + 3x −1 , if two of its zeroes are 2+√3 and 2-√3 


5. If the polynomial 6x4 + 8x3 + 17x2 + 21x + 7 is divided by another polynomial 3x2 + 4x + 1, the remainder comes out to be (ax + b), find a and b


6.    _______      


7. 


8. On dividing 3x3− 2x2 + 5x+ 5  by the polynomial p(x), the quotient and remainder are    x2−x +2 and−7 respectively. Find p(x)  


9. If p,q are zeroes of polynomial f(x)=2x2-7x+3,find p3+q3


10. Find the zeroes of the polynomial  

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