Factoring

[JohnRicketts]

im trying to answer the factor of 2x² +7x+3=0 can some one get me started?

 

[Deleted member 4993]

im trying to answer the factor of 2x² +7x+3=0 can some one get me started?

Hint:

2*3 = 6*1 and 6+1 = 7

does that help?

 

[Quaid]

Hi John:

Google the quoted phrase "factor by grouping"

If you don't understand the lessons and examples, let us know.

Subhotosh's hint is for rewriting that middle term (7x) as the sum 6x + x

Cheers :cool:

 

[HallsofIvy]

When we say "factor" we mean "factor with integer coefficients so you task is to find integer values a, b, c, and d so that (ax+ b)(cx+ d)= 2x^2+ 7x+ 3. On the left we get (ax+ b)cx+ (ax+ b)d= acx^2+ bcx+ adx+ bd= acx^2+ (bc+ ad)x+ bd. Now what integers multiply to give ac= 2? What integers multiply to give bd= 3?