Question

find all zeroes of x^3+3x^2+x+3if one of its zero is -3​

Answer 1

Answer:

Correct option is

A

1,-1,3

To find the zeroes of the given polynomial x3−3x2−x+3, we equate it to zero as shown below:

x3−3x2−x+3=0⇒x2(x−3)−1(x−3)=0⇒(x2−1)(x−3)=0⇒(x+1)(x−1)(x−3)=0(∵a2−b2=(a+b)(a−b))⇒(x+1)=0,(x−1)=0,(x−3)=0⇒x=−1,x=1,x=3

Hence, the zeroes of the polynomial x3−3x2−x+3 are −1,1,3.