This is the basic and conceptual question from polynomials in which we have given a equation (x^4+x³-34x²-4x+120) and it is also given that 2 and -2 are its zeroes and we need to calculate all the zeroes of the given polynomial
Kindly give me a detailed solution of this question
RS Aggarwal, Class 10, chapter 2B, question no 15
eqn=x^4+x³−34x²−4x+120
x³(x+2)−x²(x+2)−32x(x+2)+60(x+2)
(x³−x²−32x+60)(x+2)
{x²(x−2)+x(x−2)−30(x−2)}(x+2)
(x²+x−30)(x−2)(x+2)
(x+6)(x−5)(x−2)(x+2)=0
so x=−6, 5, 2, −2