Question

Factor the following expression completely:

32
z
4
+
8
z
3
−
4
z
2

Answer 1

The factored expression for the given equation is 4(8z⁴ + 2z³ - z²)

Explanation:

In the problem, we a re given an equation.

32z⁴ + 8z³ - 4z²

We can factor out this equation by finding the common factor between all of the coefficients which are 32, 8, and 4.

A common factor between them is 4 because each number can be easily divided by 4. Each number is also a multiple of 4. So, when we are factoring, we will divide each number by 4 because 4 will be on the outside of the parentheses in the final answer.

4(8z⁴ + 2z³ - z²)

So, this is your factored expression from the given equation.

Answer 2

40z + 5

Explanation:

I'm assuming you need to factor 32z + 4 + 8z + 3 - 4 + 2

• 32z + 8z ( since they both have the same variable ) = 40z
• 4 + 3 - 4 + 2 ( since they have to variables ) = 5

Hope this helped