Question

FACTOR the following quadratic expression: x^2-3x-18. Clearly show your steps OR explain your reasoning and CHECK your answer by multiplying to get back to the starting expression. A correct answer without a CHECK and work/ explanation will NOT receive full credit! NOTE: Press and hold the SHIFT button and press 6 to make the "^" exponent symbol. Someone plz help its doe in 10 min

Answer 1

The factors of x² - 3·x - 18, are;

(x - 6), (x + 3)

Explanation:

The given quadratic expression is presented as follows;

x² - 3·x - 18

To factorize the given expression, we look for two numbers, which are the constant terms in the factors, such that the sum of the numbers is -3, while the product of the numbers is -18

By examination, we have the numbers -6, and 3, which gives;

-6 + 3 = -3

-6 × 3 = -18

Therefore, we can write;

x² - 3·x - 18 = (x - 6) × (x + 3)

Which gives;

(x - 6) × (x + 3) = x² + 3·x - 6·x - 18 = x² - 3·x - 18

Therefore, the factors of the expression, x² - 3·x - 18, are (x - 6) and (x + 3)