Question

Jennifer is building a post for her mailbox. To find the correct dimensions, she needs to expand this expression: (x - 3)(x - 7)(x - 2). Select the equivalent expression written in the format ax³ + bx² + cx + d.

Answer 1

To Expanding Expressions (x - 3)(x - 7)(x - 2) in the format ax³ + bx² + cx + d, multiply the terms together. The equivalent expression is x³ - 12x² + 41x - 42.

Step-by-step explanation:

To expand the expression (x - 3)(x - 7)(x - 2) in the format ax³ + bx² + cx + d, we need to multiply the terms together. We can start by multiplying the first two terms:

(x - 3)(x - 7) = x² - 7x - 3x + 21 = x² - 10x + 21

Then we can multiply the result by the third term:

(x² - 10x + 21)(x - 2) = x³ - 2x² - 10x² + 20x + 21x - 42 = x³ - 12x² + 41x - 42

So, the equivalent expression in the desired format is x³ - 12x² + 41x - 42.

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