10. If the polynomial (x4 + 2x3 + 8x2 + 12x + 18) is divided by another polynomial (x2 + 5), the
remainder comes out to be (px + q). Find the values of P and q.
11. On dividing (x -3x2+ x + 2) by a polynomial f(x), the quotient and remainder are (x-2) and
(-2x + 4) respectively. Find €(x).
12. Obtain all zeros of the polynomial (2x3 – 4x – x2 + 2) if two of its zeros are V2 and -12.
13. Obtain all zeros of (3x4 – 15x3 + 13x2 + 25x – 30), if two of its zeros are and
14. Verify that 3,-2,1 are the zeros of the cubic polynomial P(x)= x3 - 2 5x + 6 and verify the
relation between its zeros and coefficients.
15. If the zeros of the polynomial x3 - 3x2 + x + 1 are a-b, a, a+b find a and b.
16. if two zeros of polynomials x4 - 6x3 - 26x2 + 138x - 35 are 2+V3. Find other zeros.
12. Obtain allzores of 1374 _ 15x3+25x-30), if two of its zeros are and -
18. If the polynomial x4 - 6x3 + 16x2 - 25x + 10 is divided by another polynomial x2 - 2x + k,
the remainder comes out to be x + a. find k and a.
19. If xand ß are the zeros of the polynomial 2x2 + 7x + 5, write the value of <+ B + OCB.
20. If -3 is a zero of the polynomial 2x2 + x + k, find the value of k.
21. Find the zeros of the polynomial x2 + x - P(P+1).
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