Question

Determine the total number of roots of each polynomial function using the factored form.

f(x) = (x + 1)(x - 3)(x-4)


f(x) = (x-6)²(x + 2)²

Answer 1

Answer:

The function has roots - 6 and - 2 and each of them has 2 multiplicity.

Explanation:

We have to determine the total number of roots of the following polynomial function using the factored form and the function is f(x) = (x + 6)²(x + 2)²

Now, to get the roots f(x) will be zero.

So, the equation becomes (x + 6)²(x + 2)² = 0

Since the equation is 4 degrees, so, the number of solutions will be 4.

Hence, the roots are - 6, - 6, - 2, and -2.

Therefore, the equation has roots - 6 and - 2 and each of them has 2 multiplicity.