Question

Find all the zeroes of the polynomial given below having given numbers as its zeroes.

x³ + 5x² + 7x + 3; – 3

Answer 1

Given zeroes is – 3

So, (x + 3) is the factor of x³ + 5x² + 7x + 3

Let us divide x³ + 5x² + 7x + 3 by x + 3

The division process is

Here, quotient = x² + 2x + 1

= (x + 1)²

So, the zeroes are – 1 and – 1

Hence, all the zeroes of the given polynomial are – 1, – 1 and – 3.