Question

Select one of the factors of 5x2 + 7x + 2.
(5x - 2)
(x + 2)
(5x + 1)
None of the above
@hartnn I want to try and do this one on my own but I was wondering if I get something wrong then you could guide me back?

Answer 1

sure,
start!

Answer 2

okay :) lol

Answer 3

so first you would have to find what makes +2 and 14?

Answer 4

\(5x^2 +7x+2\)
2 numbers with SUM = +7
and PRODUCT = 5*2 = 10
?

Answer 5

oh picked the wrong number

Answer 6

for \(ax^2+bx+c\)
it is
sum = +b
product = ac

Answer 7

okay lol

Answer 8

you can remember as `sum`= middle number
product = product of `extreme` numbers

Answer 9

** `middle`

Answer 10

okay i wrote that down :)

Answer 11

so you would have to find what makes 10 and 7

Answer 12

yes
sum as 7
and product as 10

Answer 13

so \[5+2=7 and 5\times2=10\]

Answer 14

correct :)
so how will we split 7x as ?

Answer 15

so \[(5+2)(5\times2)?\]

Answer 16

we split the middle term right ?

we got +5 and +2

so we split 7x as

\(\Large 7x = +5x+2x\)

Answer 17

\(\Large 5x^2 +5x+2x+2\)

Answer 18

oh okay

Answer 19

so okay now im stuck

Answer 20

as always
consider first 2 terms
\(\Large 5x^2+5x\)

Answer 21

what can be factored out ?

Answer 22

x(5x+5)?

Answer 23

wait i think i did it wrong

Answer 24

x can be factored out, yes
but 5 can be factored out too, right ?

Answer 25

oh yes i was a little confused on that lol
so
\[5x \left( x+1 \right)\]

Answer 26

correct
now
2x+2

Answer 27

2(x+1)

Answer 28

so it would be............

Answer 29

\[(5x+2)(x+1)\]

Answer 30

excellent! :D

Answer 31

but what would be the answer tho? im looking at them but idk

Answer 32

oh wait it would be d

Answer 33

its not from the first 3 options
so its None :)

Answer 34

yes,
you got d correct ;)

Answer 35

thank you for helping me!!!!

Answer 36

my pleasure ^_^