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

Polynomial

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

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

polynomials ↑↑↑

Polynomial ↑↑↑

Polynomial

                                                           


Answer:

Polynomials

Polynomials

Polynomial

Polynomials

Polynomials

Polynomial