Question

question 1 1 pts suppose you wanted to factor the following: x^2 - 6x - 27 select all the following methods that would be acceptable ways to try to factor this trinomial. the ac - method guess and check, meaning you set up parentheses and try to fill in the blanks with numbers that work when distributed: (x _)(x _) by trying to figure out two numbers that multiply to -27 and add to -6, and then putting these numbers in the blanks: (x _)(x _) question 2 1 pts if the leading coefficient is something other than 1, a sure - fire way to go about trying to factor a trinomial is using the ac - method. true false

Explanation:

Question 1:

Step1: Understand the ac - method

For $ax^{2}+bx + c$ (here $a = 1$, $b=-6$, $c = - 27$), find two numbers that multiply to $ac=-27$ and add to $b=-6$.

Step2: Guess and check

Set up $(x + m)(x + n)$ and try different values of $m$ and $n$ such that $mn=-27$ and $m + n=-6$.

Step3: Find two - number method

Same as the ac - method conceptually, find two numbers with the given product and sum for factoring.

Question 2:

Step1: ac - method for non - 1 leading coefficient

When factoring $ax^{2}+bx + c$ with $a
eq1$, the ac - method involves finding two numbers that multiply to $ac$ and add to $b$, then splitting the middle term and factoring by grouping, which is a reliable method.

Answer:

Question 1:

The ac - method, Guess and check, By trying to figure out two numbers that multiply to - 27 and add to - 6

Question 2:

True