Match the polynomial to the correct description :
(x+4)(x-1)(x-2)(x-4)
a. the related polynomial equation has a total of four roots; all four roots are real.
b. the related polynomial equation has a total of four roots, all four roots are real and one root has a multiplicity of 2.
c. the related polynomial equation has a total of four roots, two roots are complex and two roots are real.
d. the related polynomial equation has a total of two roots, both roots are real and have a multiplicity of 2.
e. the related polynomial equation has a total of three roots, two roots are complex and one root is real.
f. the related polynomial equation has a total of four roots, two roots are complex and one root is real with a. multiplicity of 2.

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.

step-by-step explanation:

the first 5 right here the next 5 i will upload as separate question

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it