Question

Factor.....
14x^2+3x-5

Answer 1

@jim_thompson5910 Can you please help me?

Answer 2

multiply 14 and -5 to get -70

then list all the possible ways to multiply to -70

-70 = -1*70
-70 = -2*35
....
etc etc

Which pair of factors would also add to 3?

Answer 3

10 and -7 @jim_thompson5910

Answer 4

good, so you can break up 3x into 10x - 7x to get

14x^2+10x-7x-5

Answer 5

now factor by grouping

Answer 6

(3x+10)(3x-7) @jim_thompson5910

Answer 7

not qute

Answer 8

quite*

Answer 9

14x^2+3x-5

14x^2+10x-7x-5

(14x^2+10x)+(-7x-5)

2x(7x+5)+(-7x-5)

2x(7x+5)-1(7x+5)

(2x-1)(7x+5)


--------------------


14x^2+3x-5

completely factors to

(2x-1)(7x+5)

Answer 10

oh wow ok i understand you thank you very much @jim_thompson5910

Answer 11

ok great