Question

Use a synthetic division find zeros calculator for the given expression.

A) (x + 2)(x - 3)
B) (x - 2)(x + 3)
C) (x + 4)(x - 1)
D) (x - 4)(x + 1)

Answer 1

The zeros for the provided quadratic expressions can be found by setting each factor equal to zero and solving for x. For Option A, the zeros are -2 and 3. This process can be applied similarly to Options B, C, and D.

Step-by-step explanation:

The question requires the use of synthetic division to find the zeros of given quadratic expressions. Each expression provided is already factored, so identifying the zeros is straightforward without the need for synthetic division.

However, to illustrate the process, let's use the expression in Option A: (x + 2)(x - 3). The zeros of this quadratic expression are the values of x that make the expression equal to zero. By setting each factor equal to zero, we can solve for the zeros:

• x + 2 = 0 → x = -2
• x - 3 = 0 → x = 3

Therefore, the zeros of the expression are -2 and 3. This can also be done for Options B, C, and D, by setting each factor equal to zero and solving for x.