Question

Four students are verifying that x2 + x– 12 = (x – 3)(x + 4). Their conclusions are presented in the table. A 4-column table with 1 row. First column is labeled Damien with entry 3(negative 4) = negative 12, so the factors are correct. Second column is labeled Lauryn with entry negative 4 + 3 = negative 1, so the factors are correct. Third column is labeled Rico with entry negative 4(3) = negative 12 and negative 4 + 3 = negative 1, so the factors are correct. Fourth column is labeled Latisha with entry 4(negative 3) = negative 12 and negative 3 + 4 =1, so the factors are correct. Which student correctly verified that x2 + x – 12 = (x – 3)(x + 4)? Damien Lauryn Rico Latisha

Answer 1

Latisha

Explanation:

Correct on edg

Answer 2

Latisha correctly verified that x² + x - 12 = (x - 3)(x + 4)

Explanation:

In the problem, each student was to give their explanation of why the statement above is correct. In order to know if this statement is correct, you can also simply multiply the terms after the equal sign.

(x - 3)(x + 4)

Use foil method to multiply.

x² - 3x + 4x - 12

Combine like terms.

x² + x - 12

You can also find out if the statement is correct is multiplying and adding the numbers together.

-3 * 4 = -12

-3 + 4 = 1

So, Latisha is correct because her explanation verified the statement above.