Question

Match the polynomial to the correct description :

Answer 1

Answer:

A

Step-by-step explanation:

The polynomial (x+4)(x-1)(x-2)(x-4) has zeros at x=-4,1,2,4.

The related polynomial equation is (x+4)(x-1)(x-2)(x-4)=0.

In order for this equation to be true at least one of the factors must by 0 that is the only way a product can be zero (if one of it's factors is).

So you wind up needing to solve these 4 equations:

x+4=0            x-1=0          x-2=0             x-4=0

x=-4                 x=1              x=2                   x=4

First equation, I subtracted 4 on both sides.

Second equation, I added 1 on both sides.

Third equation, I added 2 on both sides.

Fourth equation, I added 4 on both sides.

-4,1,2,4 are all integers

Integers are real numbers.

So A.