Let `a_0x^n + a_1 x^(n-1) + ... + a_(n-1) x + a_n = 0` be the nth degree equation with `a_0, a_1, ... a_n` integers. If `p/q` is arational root of this equation, then p is a divisor of an and q is a divisor of `a_n`. If `a_0 = 1`, then every rationalroot of this equation must be an integer.

Concept : Let a_(0)x^(n)+a_(1)x^(n-1)+…+a_(n-1)x+a_(n)=0 be the nth degree equation with a_(0),a_(1),…a_(n) integers. If p/q is a rational root of this equation, then p is a divisor of a_(n) and q is a divisor of a_(0) . If a_(0)=1 , then every rational root of this equation must be an integer. The roots of the equation x^(3)-9x^(2)+23x-15=0 , if integers, are in

Concept : Let a_(0)x^(n)+a_(1)x^(n-1)+…+a_(n-1)x+a_(n)=0 be the nth degree equation with a_(0),a_(1),…a_(n) integers. If p/q is a rational root of this equation, then p is a divisor of a_(n) and q is a divisor of a_(0) . If a_(0)=1 , then every rational root of this equation must be an integer. The rational roots of the equation 3x^(3)-x^(2)-3x+1=0 are in

Concept : Let a_(0)x^(n)+a_(1)x^(n-1)+…+a_(n-1)x+a_(n)=0 be the nth degree equation with a_(0),a_(1),…a_(n) integers. If p/q is a rational root of this equation, then p is a divisor of a_(n) and q is a divisor of a_(0) . If a_(0)=1 , then every rational root of this equation must be an integer. The rational roots of the equation 3x^(3)-x^(2)-3x+1=0 are in

If (1 - x + x^2)^n = a_0 + a_1 x + a_2x^2 + ..... + a_(2n)x^(2n) then a_0 + a_2 + a_4 + ... + a_(2n) equals

If a_0 = x, a_( n+1) = f(a_n) , " where" n = 0,1,2……… then answer the following questions If f(x) = (1)/( 1-x) then which of the following is not true?