Question

Which of the following is a factor of 2x^4 + 22x^3 + 60x^2?

2x^3

x^4

x + 4

x + 5

Answer 1

@ganeshie8

Answer 2

GCF...
2 and x^2

Answer 3

sooo...
2x^4 + 22x^3 + 60x^2

2 and x^2

2x^2(x^2 + 11x^1 + 30)

Answer 4

perfect!

Answer 5

lol weird formula time xD

Answer 6

next we need to factor x^2 + 11x + 30

Answer 7

formulas wont work this time :o

Answer 8

o_O

Answer 9

lol what do we do then

Answer 10

this is a new method,
see if u can follow it :-

first, we pick two numbers \(a\), \(b\) such that :-
\(a*b\) = 30
\(a+b\) = 11

Answer 11

can u tell me the two numbers ?

Answer 12

10 * 3 = 30
5 + 6 = 11

Answer 13

noo, both shud be same

Answer 14

a*b = 30
and, same

a+b = 11

Answer 15

like that...

Answer 16

5*6 = 30
5+6 = 11

Answer 17

so, 5 and 6 are our numbers, ok

Answer 18

alright I got it

Answer 19

next :-

2x^2(x^2 + \(11x\) + 30)

2x^2(x^2 + \(5x + 6x\) + 30)

Answer 20

fine ?
i just wrote 11x as 5x+6x

Answer 21

yeah im following ya

Answer 22

2x^2(x^2 + \(11x\) + 30)

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

Answer 23

factor those two separately

Answer 24

2x^2(x^2 + \(11x\) + 30)

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

2x^2(x(x+\(5\))+\(6\)(x + 5))

2x^2(x+\(5\))(x + \(6\))

Answer 25

take it slow... if it doesnt make fully sense its okay, you need to practice 2-3 problems to see how the method works

Answer 26

Yeah i understand it a bit, thanks :)

Answer 27

good to hear :)