math
posted by cosca .
Prove that if p, q, r and s are odd integers, then the equation x^10 + px^9  qx^7 + rx^4  s = 0 has no integer roots.
Respond to this Question
Similar Questions

math check
Posted by TchrWill on Thursday, July 14, 2005 at 5:44pm. 2.)The sum of four consecutive odd integers is 336. Set up an equation AND solve for all of the integers. Two ways to approach this. 336/4 = 84 making the 4 consecutive odd … 
discrete math
use a direct proof to show that the product of two odd numbers is odd. Proofs: (all the nos. i used are odd) 3 x 3 = 9 5 x 9 = 45 7 x 3 = 21 Yes, but you didn't prove the statement for "all" odd integers, only the odd integers you … 
discrete math
prove that if n is an integer and 3n+2 is even, then n is even using a)a proof by contraposition b)a proof by contradiction I'll try part b, you'll have to refresh me on what contraposition means here. Here is the claim we start with … 
discrete math
Prove by contradiction that for any even integer a and any odd integer b, 4 does not divide (a^2 + 2b^2). Proposition: That 4k (k is any integer) = a^2 +2b^2, and a is even, and b is odd. But 4k is even (product of any integer and … 
Math
Suppose p and q are odd integers. (a) Show that the quadratic equation x2 + px + q = 0 has no rational roots. (A number á is a “root” of that equation if: á2 + pá + q = 0. A number is rational if it is expressible as m/n for … 
math
Prove that if p, q, r and s are odd integers, then the equation x^10 + p x^9  q x^7 + r x^4  s = 0 has no integer roots. 
Algebra
The sum of two consecutive odd integers is 56. A. Define a variable for the smaller integer. B. What must you add to an odd integer to get the next greater odd integer? 
Math
Let f(x)= px^5 + qx^4 + rx^3 + sx^2 + tx + u be a polynomial such that f(1) = 1 and f(2) = 3 and all the numbers p, q, r, s, t and u are integers. prove that the equation px^5 + qx^4 + rx^3 + sx^2 + tx + u = 0 has no integer roots. 
math
A. Four times one odd integer is 14 less than three times the next even integer. Find the integers. B. The average of four consecutive odd integers is 16. Find the largest integer. C. When the sum of three consecutive integers is divided … 
maths
the non decreasing sequence of odd integers {a1, a2, a3, . . .} = {1,3,3,3,5,5,5,5,5,...} each positive odd integer k appears k times. it is a fact that there are integers b, c, and d such that, for all positive integers n, añ = …