Question

1. what would be the product of $(x+2.5)(x-2.5)$?

a. $x^2 + 6.25$
b. $x^2 - 5$
c. $x^2 - 6.25$
d. $x^2 + 5$

1. why is it important to practice polynomial multiplication with various coefficients?

a. to avoid learning other topics
b. to memorize more formulas
c. to reduce calculation time
d. to prepare for diverse mathematical challenges

1. which method ensures that all term combinations are considered?

a. scaffaction model
b. division table
c. multiplication table
d. addition chart

Explanation:

Step1: Apply difference of squares formula

The expression $(x+2.5)(x-2.5)$ matches the difference of squares pattern $(a+b)(a-b)=a^2-b^2$, where $a=x$, $b=2.5$.

Step2: Calculate $b^2$

$2.5^2 = 6.25$

Step3: Substitute into the formula

$x^2 - 2.5^2 = x^2 - 6.25$

Answer:

1. c. $x^2 - 6.25$
2. d. To prepare for diverse mathematical challenges
3. c. Multiplication Table