Write the simplest polynomial function with the given roots -3,-2,1 and 5

The simplest polynomial function with the given roots is

.

Solution:

Given roots of the polynomial are:

–3, –2, 1 and 5

If a is the root of the polynomial then the factor is (x –a).

So that, the factors of the given roots are:

(x –(–3)) = x + 3

(x –(–2)) = x + 2

(x – 1) = x – 1

(x – 5) = x –5

Polynomial = Product of the factors

                    = (x + 3)(x + 2)(x – 1)(x – 5)

Multiply first two factors.

Now, multiply the next two factors.

Now multiply these two factors.

The simplest polynomial function with the given roots is

.

i was unable to find the answer. good

answer is b

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