## Description

**A SAMPLE IS ATTACHED BUT THE SAMPLE QUESTIONS ARE BASED ON DIFFERENT NUMBERS OF COURSE**

**Use FACTORING to solve:**

x2 + 3x – 18 = 0

**Use the QUADRATIC FORMULA to solve:**

(a - 2) ^ 2 = 8

For the factoring problem, be sure you show all steps to the factoring and solving. Show a check of your solutions back into the original equation.

For the quadratic formula problem, be sure that you use readable notation while you are working the computational steps. Refer to the Inserting Math Symbols handout for guidance with formatting.

Present your final solutions as decimal approximations carried out to the third decimal place. Due to the nature of these solutions, no check is required.

Incorporate the following four math vocabulary words into your discussion. Use **bold** font to emphasize the words in your writing. Do not write definitions for the words; use them appropriately in sentences describing your math work.

Quadratic formula

Factoring

Completing the square

Discriminant

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## Explanation & Answer

Attached is the solution.

1. Use Factoring to solve: 𝑥 2 + 3𝑥 – 18 = 0

Let us compare the quadratic equation with the standard form:

𝑎𝑥 2 + 𝑏𝑥 + 𝑐 = 0

We have,

a = 1, b = 3 and c = −18

Using the factorization method, we identify factors of the quadratic equation. For a

quadratic equation, the number of factors are two henceforth, we try to find a pair of

integers such that their product equals 𝑎 ∗ 𝑐 and when their summation equal b.

In the given problem, the product of the two integers should be 𝑎 ∗ 𝑐 = 1 ∗ (−1...