1. If the zeroes of the …

1. If the zeroes of the quadratic polynomial ?2+(?+1)?+? are 2 and –3, then find the value of ? ,?. 2. If one zero of the polynomial (?2+9)?2+13?+6? is reciprocal of the other, find the value of ?. 3. If ? and ? are the zeroes of the polynomial 2?2+5?+? such that ?2+?2+??=214, then find the value of ?. 4. If ? and ? are the zeroes of the polynomial ?2−?(?+1)−?, then prove that (?+1)(?+1)=1−? 5. If ? and ? are the zeroes of the polynomial ?2+??+?, then find the polynomial whose zeroes are 1? and 1? . 6. If a polynomial ?(?)=?3−7?+? when divided by (?−1) leaves remainder 2, then find the value of ?. 7. If the polynomial (?4+2?3+8?2+12?+18) is divided by another polynomial (?2+5), the remainder comes out to be (??+?). Find the values of ? and ?. 8. Find a quadratic polynomial whose sum and product of zeroes are respectively −32√5 and −12. Also, find the zeroes of the polynomial so obtained. 9. Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: 2?2−(1+2√2)?+√2 10. If the remainder on division of ?3+2?2+??+3 by x – 3 is 21, find the quotient and the value of k. Hence, find the zeroes of the cubic polynomial ?2+2?2+??−18. 11. If two zeroes of the polynomial ?(?)=?4−6?3−26?2+138?−35 are (2+√3) and (2−√3), find the other zeroes.

If 1/2 is a root of equation x^2+kx- 5/4 =0 , then what is the value of k

Venu Gopal has twice

Find the nature of quadratic equation x^2 +x -5 =0

sin60° cos 30°+ cos60° sin 30°

(A + B )²

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Prove that root 8 is an irration number

X-y=5

Is it possible to design a rectangular mango Grove whose length is twice it's breadth, and the area is 800m²? If so, find it's length and breadth

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