Question

Find a polynomial equation that has zeros at x = -2, x = 0, x = 3 and x = 5

es )
A)
y = (x + 2)(x − 3)(x - 5)
B)
y = (x − 2)(x + 3)(x + 5)
C)
y = (x - 2)(− 3)(x - 5)
D)
y = x(x + 2)(x - 3)(x - 5)

Answer 1

The polynomial equation with zeros at x = -2, x = 0, x = 3, and x = 5 is formed by multiplying the factors associated with each zero, resulting in y = x(x + 2)(x - 3)(x - 5).

Step-by-step explanation:

When finding a polynomial equation based on its zeros, each zero correspond to a factor of the polynomial. Every zero of a polynomial equation represents a point where the graph of the polynomial touches or crosses the x-axis.

The polynomial factors for zeros at x = -2, x = 0, x = 3, and x = 5 would be (x + 2), x, (x - 3), and (x - 5), respectively.

Thus, to get the polynomial equation, we multiply the factors associated with each zero:

y = x(x + 2)(x - 3)(x - 5)

Accordingly, the correct option is:

D) y = x(x + 2)(x - 3)(x - 5)

Answer 2

Answer: its B

Step-by-step explanation: