Question

These crazy polynomials keep ang like integers. We can factor integers to determine their factors We can also do the same for polynomials. (a) List all of the positive factors of the integer 12 (b) List all of the factors of 2x-6x by also by writing all possible positive integer writing all possible products, such as products (such as 12-3-4) 2(x-3x)-

Answer 1

Answer: (a) The positive factors of the integer 12 are: 1, 2, 3, 4, 6, and 12.

(b) To factor 2x - 6x, we can first factor out the greatest common factor of 2 and x, which is 2x:

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

Now we can see that (1-3) is equal to -2. Therefore, the factors of 2x - 6x are:

2(x - 3x)

-2(x - 3x)

2x(3 - 1)

-2x(3 - 1)

Simplifying these products, we get:

2(-2x) = -4x

-2(-2x) = 4x

2x(2) = 4x

-2x(2) = -4x

So the factors of 2x - 6x are -4x, 4x, 4x, and -4x.

Explanation: