enter the correct answer in the box. what is the factored form of this expression? x² - 121 fill in the…
enter the correct answer in the box. what is the factored form of this expression? x² - 121 fill in the values for p and q to complete the factored form of the expression. (x + p)(x + q)
Answer
Explanation:
Step1: Recognize difference - of - squares
The expression $x^{2}-121$ is in the form $a^{2}-b^{2}$, where $a = x$ and $b = 11$ since $121=11^{2}$.
Step2: Apply difference - of - squares formula
The difference - of - squares formula is $a^{2}-b^{2}=(a + b)(a - b)$. Substituting $a=x$ and $b = 11$, we get $x^{2}-121=(x + 11)(x-11)$.
Answer:
$p = 11$, $q=-11$