Algebra-2

To write the polynomial in standard form given the zeros (x = -3), (x = 2), (x = 1), and (x = 6), we can express the polynomial in its factored form based on these zeros.

 

Given Zeros:

1.Zero: (x = -3) corresponds to the factor (x + 3)

2.Zero: (x = 2) corresponds to the factor (x - 2)

3.Zero: (x = 1) corresponds to the factor (x - 1)

4.Zero: (x = 6) corresponds to the factor (x - 6)

 

Polynomial in Factored Form:

The polynomial can be expressed as:

f(x) = (x + 3)(x - 2)(x - 1)(x - 6)

 

Step 1: Multiply the Factors

We will multiply these factors step by step.

Step 1.1: Multiply (x + 3) and (x - 2)

 

Step 1.2: Multiply and (x - 1)

 

Step 1.3: Multiply