SOLUTION: f(x)=(x+1)^3(2x+3)(2-x)^2 determine the degree of f(x) what are the zeros of f(x) help help

Question 64288: f(x)=(x+1)^3(2x+3)(2-x)^2
determine the degree of f(x)
what are the zeros of f(x)

help help
Answer by chitra(359) (Show Source): You can put this solution on YOUR website!
The given expression is:

f(x) =

This can be written as:

f(x) = (x+1)(x+1)(x+1)(2x+3)(2-x)(2-x) --------------(EQN 2)

So, on multiplying the given expression it can be writtne as:

This can be simplified and reduced and written as:

Hence, the highest power of x gives us the degree of the polynomial.

The degree of f(x) = 6

Now, the zeros of this one is obtained by:

Equating (2) to zero.

Thus, we find that the zeros of the polynomial are:

x = -1, -1, -1, -2/3, 2, 2

Hence, the solution.

Regards...

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