Question 3:

Medium

Consider the algebraic expression 𝑥² + 8𝑥 + 15.
1. Explain step by step how to factorize this expression.
2. Then, solve the equation 𝑥² + 8𝑥 + 15 = 0 using the found factorization.
3. Finally, interpret the meaning of the obtained roots in relation to the problem that this equation can represent.

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Question 5:

Medium

An engineer is solving a mathematical problem related to the structure of a building and comes across the algebraic expression (a² - b²). In order to simplify the calculation, he intends to factorize this expression using the difference of squares factorization. Which of the alternatives below presents the correctly factorized expression?

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