Question

factor the trinomial

6x^2+29x-5

Answer 1

1. See if you can factor a common factor out of all terms.

Answer 2

2. To factor a trinomial of the form ax^2 + bx + c, multiply ac. Then find two factors of ac that add up to b.

Answer 3

Are you following?

Answer 4

...not really... well kinda

Answer 5

6 time 5 is 30

Answer 6

Yes, that's it.

Answer 7

6x^2+29x-5

(3x )(2x ) [To make 6x^2]

But wait, we run into an issue. We can't factor -5 and +3 given to put it in a binomial.

So, we abort mission and factor it this way.
Common factors for 6 and 29 are 2, but none of -5. There are no common factors. Not on either side.

The product is prime.

Answer 8

Actually, it's -30
The first step above is to try to factor a common factor, but there isn't on here.
The next step is to multiply ac. In this case, a = 6 and c = -5, so
ac = -30
Now come up with two numbers that multiply to -30 and add up to b which is 29

Answer 9

its not prime

Answer 10

@reason Keep following what I'm doing.
-30 = -1 * 30
-1 + 30 = 29

Answer 11

okay i get that.

Answer 12

The numbers are -1 and 30. Ok?

Answer 13

Ok.
Now you break up the middle term into these two numbers like this:
6x^2 + 30x - x - 5
Ok so far?

Answer 14

Next step, is factor a common factor out of the first two terms, and factor a common factor out of last two terms.

Answer 15

little lost now

Answer 16

You're right. So now that I know you've caught onto that, I can help you solve the equation.

(x )(6x ) This will give you 6x^2
Now, we need a -5 on the end

(x )(6x - 1) Because -5 is prime, we can just put it on the edge.

Because it is prime, we know the only factor of -1 is multiplying it by 5.

(x + 5)(6x - 1) <-- This is correct, right?

Answer 17

6x^2 + 30x - x - 5
6x(x + 5) -1(x + 5)

Answer 18

(x + 5)(6x - 1)
Lets factor it out

6x^2 -x + 30x - 5
6x^2 +29x - 5

Answer 19

Notice that we have a common factor of (x + 5), so factor that out:
6x(x + 5) -1(x + 5)
(x + 5)(6x - 1)
There's your factorization.

Answer 20

thanks so i just need to remove one of the X+5?

Answer 21

Right, and what's left is the other factor.