Question

What is the expression in factored form?
x^2+ 13x + 42 help please?

Answer 1

can you tell me 2 numbers whose sum is 13 and product = 42 ?

Answer 2

7 and 6

Answer 3

so the answer would be (x+7)(x+6)

Answer 4

let lexi try ?

Answer 5

6 and 7
6+7 = 13
6*7 = 42 :)

Answer 6

yes!
do you know how to factor now ?

Answer 7

not exactally..:/

Answer 8

ok, let me tell u
so we split here
13 x = 6x+7x

we have (x^2+6x)+(7x +42)
ok ?

Answer 9

ok

Answer 10

what can you factor out from 1st 2 terms ?
x^2+6x =... ?

Answer 11

7x + 42?

Answer 12

lets consider 1st 2 terms initially
x^2+6x = x*x+6*x
what do you see common in these 2 ?

Answer 13

x*x is the same as x^2? and 6*x is the same as 6x

Answer 14

no, i meant
'x' is common from
x*x+ 6x
so,
x^2+6x = x (x+6)
got this ?

Answer 15

ooh ok:)

Answer 16

so, what do you see common from last 2 terms
7x+42 ?

Answer 17

well.. if u divide 42 by 7 u get 6.. but thats about it

Answer 18

see, 7x +42 = 7*x +7*6
so, 7 is common, so i take that out
7x+42 = 7(x+6)
makes sense ?

Answer 19

oooh yea ok i see what u did:)

Answer 20

thank you!!:)

Answer 21

good :)
so, we have
x(x+6) +7 (x+6)
now what is common in these 2 terms ?

Answer 22

is that all we do?

Answer 23

last step is remaining....
whats common term in x(x+6) +7 (x+6) ?

Answer 24

the (x+6)'s?

Answer 25

yes! so factor that out! what remains is x and +7
so,
x(x+6) +7 (x+6) = (x+6)(x+7)
thats it!

Answer 26

thank you sooo much!! so the answers would be x+6 and x+7?:)

Answer 27

the answer = (x+6)(x+7)
no 'and' in between
welcome ^_^