Factor the expression X^2 + 6x + 8
1 answer:
Answer: (x + 4)(x + 2)
Step-by-step explanation: In this problem, we're given a trinomial with an x² term, an x term, and a constant term so we can factor it as the product of two binomials.
The first term in each binomial will be a factor of x² and since x² factors as x time x, we use x as the first term in each binomial.
To fill the second position in each binomial, we use the factors of the last term that add together to equal the coefficient of the middle term.
So we're looking for factors of +8 that add to +6.
+8 factors as 8 x 1 or 4 x 2. Since 4 and 2 add together to equal +6, we put a +4 in our first binomial and a +2 in our second binomial and we have our answer (x + 4)(x + 2) which is a factored version of x² + 6x + 8.
You might be interested in
Answer: This is what I could figure out
Step-by-step explanation:
Answer:
I assume that the function is:
Now let's describe the general transformations that we need to use in this problem.
Reflection across the x-axis:
For a general function f(x), a reflection across the x-axis is written as:
g(x) = -f(x)
Reflection across the y-axis:
For a general function f(x), a reflection across the y-axis is written as:
g(x) = f(-x)
Then a reflection across the y-axis, and then a reflection across the x-axis is just:
g(x) = -(f(-x)) = -f(-x)
In this case, we have:
then:
Now we can graph this, to get the graph you can see below:
