hello what is the product of (3x+2)(x+4)

Question

I think you solve with foil method?

Answer 1

Yes you would use the FOIL method

3x(x) + 3x(4) + 2x + 2(4)
3x²+ 12x + 2x + 8
3x² + 14x + 8

Hope this helps!

Answer 2

So yes, the FOIL method works:

"3x(x) + 3x(4) + 2x + 2(4)
3x²+ 12x + 2x + 8
3x2 + 14x + 8"   -Stephanie P.

 

Though many students cannot use methods such as FOIL because if confuses them even more.  SO, another way to go about this is using what you know about the Distributive Property. The only difference here is that you will apply the Distributive Property TWICE. Once for "3x" and once for "2" : 

3x(x+4) + 2(x+4)... do you see why this works? Again, its kind of like the distributive property where (x+4) is distributed to the 3x AND the 2.

So we simplify: 3x(x+4) + 2(x+4) = 3x²+12x + 2x + 8 = 3x² +14x + 8. DONE!