Question

What are the zeroes of f(x) = x2 + 5x + 6?

I need help solving it out

Answer 1

You can factor or use the quadratic equation, which one feels easier for you?

Answer 2

Or do you just want me to walk you through one of them, whichever seems easier

Answer 3

Can you walk me through it please..

Answer 4

Factoring seems easier imo

Do you understand the general idea of factoring?

Answer 5

Not really

Answer 6

I was never able to get how it worked

Answer 7

Okay, so you want to find 2 numbers that multiply to 6 first

What are the multiples of 6?

Answer 8

1,6
2,3
3,2

Answer 9

Right, which of those numbers can add up to 5?

Answer 10

2,3
3,2

Answer 11

2,3 and 3,2 are the same thing you dont have to re-write them

Basically your equation is just \((x+first~multiple)(x+second~multiple)\)
= \((x+2)(x+3)\)

Answer 12

Does that make sense?

Answer 13

Yeah, I was just writing it down cause I will end up forgetting easily and I am studying for my final exam.

Answer 14

Ah okay, also that isnt your final answer, when it asks for `zeroes` always note that you have to set them equal to 0

\(x+2=0\) and \(x+3=0\)
Solve for x on each
\(x+2\color{red}{-2}=0\color{red}{-2}\) and \(x+3\color{red}{-3}=0\color{red}{-3}\)

x=-2 and x=-3 are your zeroes

Answer 15

So my answer would be x = -2,-3?

Answer 16

Yes

Answer 17

Thank you, I understand it better now ^.^

Answer 18

Ofcs ofcs