Question

math help question is in comment

Answer 1

In the equation x^2-13x+30=(x+g)(x+h) G and H are both intergers.
There are two possible values for G. what are they
im lost on how to do it

Answer 2

you can use the master product rule. the key is to factor the equation. do yu know how to factor?

Answer 3

yea

Answer 4

so factor it and let's see what you get...

Answer 5

(x−3)(x−10)

Answer 6

so rewrtie your factors so that the operation between x and the integer is addition

Answer 7

rewrite, sorry... do you understand?

Answer 8

im lost

Answer 9

so you have (x-3) and (x-10) as your factors, right?

Answer 10

yea

Answer 11

well, (x-3) = (x+[-3]), correct?

Answer 12

no just (x-3)

Answer 13

remember, subtraction is addition of the opposite. that's actually how subtraction is defined!

what is the opposite of 3?

Answer 14

-3

Answer 15

there you go!

so is 5-3 the same as 5+(-3)?

Answer 16

but it says tht there are 2 possible factors for G

Answer 17

(g+h)=-13
(g*h)=30

Answer 18

yep... (x+(-3)) and (x+(-10))... does that make sense?

a way to check is to see what values of x make the factors equal to 0.

with (x-3), what value of x makes the factor 0?

with (x +(-3)) what value of x makes the factor 0?

is it the same value in both? if so, then the factors must be equivalent.

Answer 19

so G can be either -3 or -10.

Answer 20

ohhh i get it thx

Answer 21

you're welcome