Question

question\
which expression is equivalent to $x^2 - 12x + 11$?\
$\circ (x + 11)(x + 1)$\
$\circ (x - 11)(x + 1)$\
$\circ (x + 11)(x - 1)$\
$\circ (x - 11)(x - 1)$

Explanation:

Step1: Recall factoring trinomials

We need to factor $x^2 - 12x + 11$. Find two numbers that multiply to $11$ and add to $-12$. These numbers are $-11$ and $-1$.

Step2: Write factored form

Using the two numbers, the trinomial factors as $(x - 11)(x - 1)$.

Step3: Match with options

Compare the factored form to the given options.

Answer:

$(x - 11)(x - 1)$ (the fourth option)