Given the equation when factorized it is equal to:Question 1Select one:a.(x + 4)(x + 2)b.(x - 4)(x + 2)c.(x - 4)(x - 2)d.(x + 4)(x - 2)

To solve this problem, we need to factor the given polynomial equation and identify which option corresponds to the correct factorization. However, the equation itself is not provided.

Step 1: Break Down the Problem

• Identify the polynomial that needs to be factored.
• Analyze each of the multiple-choice options to determine which product matches the polynomial when expanded.

Step 2: Relevant Concepts

Assuming the polynomial has been given, for example, let's say we have a quadratic polynomial $ax^2 + bx + c$. We will need to use the factored form $(x - r_1)(x - r_2)$ where $r_1$ and $r_2$ are the roots of the polynomial.

Step 3: Analysis and Detail

Expand each option provided to identify the correct factorization:

1. Option a: $(x + 4)(x + 2)$ $= x^2 + 2x + 4x + 8 = x^2 + 6x + 8$

2. Option b: $(x - 4)(x + 2)$ $= x^2 + 2x - 4x - 8 = x^2 - 2x - 8$

3. Option c: $(x - 4)(x - 2)$ $= x^2 - 2x - 4x + 8 = x^2 - 6x + 8$

4. Option d: $(x + 4)(x - 2)$ $= x^2 - 2x + 4x - 8 = x^2 + 2x - 8$

Step 4: Verify and Summarize

Now we compare each expanded polynomial to find the match with the original polynomial (which is assumed to be known). Since the original polynomial was not provided, please replace the polynomial equation in the analysis according to your needs.

Final Answer

Once the correct factorization is determined based on the expanded forms, select the appropriate option from:

• a. $(x + 4)(x + 2)$
• b. $(x - 4)(x + 2)$
• c. $(x - 4)(x - 2)$
• d. $(x + 4)(x - 2)$

If you can provide the original polynomial, I can help identify the correct factorization directly!