Find all the zeros of the following function y=x^4+6x^3+6x^2+6x+5

Then the four zeros of the given polynomial are {-1, -5, -1, +1}

Step-by-step explanation:

First, make an educated guess regarding the first zero of this polynomial.  Since the constant term is 5, likely zeros are -1, 1, -5 and 5.  Let's check out the possible zero -1, using synthetic div.:

-1   /   1   6   6   6   5

             -1   -5  -1   -5

        1     5    1    5   0    These are the coefficients of the quotient.

Because the remainder is zero, we know that -1 is a zero of the given polynomial.

Next, let's determine whether -5 is a zereo of the above quotient:

-5   /  1    5    1    5

              -5   0  -5

        1      0    1    0  Because the remainder is zero, -5 is a zero.

Here the quotient is 1x^2 - 1^2, which factors into (x+1)(x-1)

Setting this result = to 0, we get x = -1 and x = + 1.

Then the four zeros of the given polynomial are {-1, -5, -1, +1}

answer: sine

step-by-step explanation:

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !