answersLogoWhite

0

The procedure for factoring

z2+7z+6

is as follows:

First, we must look at the number in front of the first variable. In this case, it is a 1. Then we look at the last number in the expression, which is a 6 (the expression must be arranged in descending order by the exponents of the variables).

Now, we multiply these two numbers together.

1 x 6 = 6

We need to factors of 6 that when added together equal 7. The factors of 6 are as follows

1 x 6

2 x 3

The first set of factors is the only set that adds up to equal 7. So now we break apart the middle term into 1 and 6, so that it looks like this:

z2+z+6z+6

Now we group the expression like this

(z2+z)+(6z+6)

With the parenthesis like this, we can begin pulling out common factors, leaving the expression looking like this

z(z+1)+6(z+1)

Because the contents of the sets of parenthesis are the same, we can combine the z and the 6 to get the fully-factored expression

(z+6)(z+1)

User Avatar

Wiki User

15y ago

Still curious? Ask our experts.

Chat with our AI personalities

JordanJordan
Looking for a career mentor? I've seen my fair share of shake-ups.
Chat with Jordan
CoachCoach
Success isn't just about winning—it's about vision, patience, and playing the long game.
Chat with Coach
BeauBeau
You're doing better than you think!
Chat with Beau

Add your answer:

Earn +20 pts
Q: How do you factor z squared plus 7z plus 6?
Write your answer...
Submit
Still have questions?
magnify glass
imp