If two zeroes of a polynomial x3+5x2+7x+3 are -1 and-3 then find the third Zero

Third zero is -1.

Step-by-step explanation:

consider the given polynomial is  

It is given that -1 and -3 are two zeroes, therefore (x+1) and (x+3) are two factors of given polynomial.

The given polynomial can be rewritten as

Now, splitting the middle term, we get

Here, power of (x+1) is 2. It means the multiplicity of zero -1 is 2.

So, three zeroes are -1, -1 and -3.

Therefore the third zero is -1.

yes

step-by-step explanation: