Showing posts with label polynomials. Show all posts
Showing posts with label polynomials. Show all posts

Wednesday, August 28, 2013

cube root



Find the cube root of:

27x6 - 27x5 + 171x4 – 109x3 + 342x2 – 108x + 216


polynomial



If p, q, r are positive quantities, and the equation

If x4 +px3 + qx2+rx + 1 = 0, and

x4 +rx3 + qx2+px + 1 = 0, have a common root, then prove that

p + r = q + 2


Tuesday, August 27, 2013

Polynomial



If x3 + px2+qx + r = 0 , and s denotes their sum, prove that,

(s –a)(s – b)(s – c) = r - pq      (Hall)