Factor completely: 4x2 + 25x + 6

(4x + 1)(x + 6)

(4x + 6)(x + 1)

(2x + 3)(2x + 2)

(2x + 6)(2x + 1)

@johnweldon1993

Question

Factor completely: 4x2 + 25x + 6

(4x + 1)(x + 6)

(4x + 6)(x + 1)

(2x + 3)(2x + 2)

(2x + 6)(2x + 1) 

@johnweldon1993

anonymous · Answer

@jim_thompson5910

anonymous · Answer

I forgot how...>_<

whpalmer4 · Answer

You don't know how to multiply $$(4x+1)(x+6)$$?

mathstudent55 · Answer

This is how. Use FOIL:
(a + b)(c + d) = 
ac + ad + bc + bd

anonymous · Answer

Ohh, I forgot! Thanks @mathstudent55

anonymous · Answer

How would I multiply unlike terms again? I forgot. (4x x 6)

whpalmer4 · Answer

4x * 6 = 24x

whpalmer4 · Answer

it's just 4x + 4x + 4x + 4x + 4x + 4x, after all...

anonymous · Answer

Oh, okay, I thought it was different. Guess not. > . <

whpalmer4 · Answer

you can't add them...maybe that's what you were thinking of...

anonymous · Answer

Oh yeah, that's it. Can't add em. So now i have $$(4x^2+24x)(x+6)$$

whpalmer4 · Answer

mmm.no....are you doing the first answer choice?

$(4x+1)(x+6) = 4x(x+6) + 1(x+6)$ by the distributive property of multiplication
$$4x(x+6)+1(x+6) = 4x*x + 4x*6 + 1*x + 1*6$$again, distributive property
collecting like terms, we get$$4x^2+24x+1x+6=4x^2+25x+6$$

whpalmer4 · Answer

basically, each piece of the first thing multiplies each piece of the second thing, and then you collect it all together...

anonymous · Answer

Ohhh. I get it. Thanks.

whpalmer4 · Answer

It might be easier to see with a numeric example.  If we multiply 12 * 25, that's the same as $$(10+2)*(20+5) = 10*20 + 10*5 + 2*20 + 2*5$$$$ = 200 + 50 + 40 + 10 = 300$$