maths

posted by .

if alpha and beta are zeros of the polynomial f(x)=xx+px+q then polynomial having 1/alpha and 1/beta as its zeros is:

  • maths -

    suppose it 'a' as alpha and 'b' as beta
    a+b=-(-p/1)=p
    and
    ab=q/1=q
    1/a+1/b=a+b/ab=p/q
    .........========.............

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. maths

    alpha beta gamma are zeros of cubic polynomial x^3-12x^2+44x+c. if alpha beta gamma are in Ap find the value of c class 10
  2. maths

    if alpha and beta are the zeros of the polynomial 2x^2-4x+5 then find the values of (i)alpha^2+beta^2 (ii)1/alpha^2+1/beta^2 (iii)(r)alpha/beta+(r)beta/alpha (iv)alpha^-1+beta^-1
  3. Math ( Polynomial )

    This time three questions - 1. If (x^2 - 1 ) is a factor of polynomial ax^4 + bx^3 + cx^2 + dx + e, show that a + c + e = b + d = 0. 2. Let R1 and R2 be the remainders when polynomials x^3 + 2x^2 - 5ax - 7 and x^ 3 + ax^2 - 12 x + …
  4. Math ( Polynomial )

    This time three questions - 1. If (x^2 - 1 ) is a factor of polynomial ax^4 + bx^3 + cx^2 + dx + e, show that a + c + e = b + d = 0. 2. Let R1 and R2 be the remainders when polynomials x^3 + 2x^2 - 5ax - 7 and x^ 3 + ax^2 - 12 x + …
  5. Math

    If alpha and beta are the zeros of the polynomial ax^2 + bx + c then evaluateA. (alpha)^2 / beta + (beta)^2 / alpha B. alpha^2 .beta + alpha.beta^2 C. 1/(alpha)^4 + 1/(beta)^4. Please work the complete solution.
  6. Math

    Let Alpha and Beta be the zeros of the cubic polynomial x^3 + ax^2 + bx + c satisfying the relation Alpha * Beta = 0. Prove that : c^2 + ac + b + 1 = 0. Please work the complete solution.
  7. Math

    Let Alpha and Beta be the zeros of the cubic polynomial x^3 + ax^2 + bx + c satisfying the relation Alpha * Beta -1 = 0. Prove that : c^2 + ac + b + 1 = 0. Please work the complete solution
  8. maths

    If alpha and beta are the zeros of the polynomial p(x)=x^2+x+1 then find the value of 1√∑alpha+1√∑beta 2)alpha^2+beta^2
  9. maths

    if alpha and beta are the zeros of p(x)=3x^2-7x-6.find a polynomial whose zeros are alpha^2 and beta^2
  10. Maths

    If alpha and beta are the zeros of the polynomial 4x square-16x+15, form a polynomial whose zeros are alpha by beta,beta by alpha

More Similar Questions