How to factorise 4x²+20x+24

take out the greatest common factor (4)
4(x^2+5x+6)
then factor
4(x+3)(x+2)

and thats the answer

when you are factoring you need to receive two parts in parentheses
(4x+8)(x+3)

To check is use the rule of multiplication of elements in parentheses
4x*x+4x*3+8*x+24=4xsqr+12x+8x+24=4xsqr…

How to factorise 4x²+20x+24 ?

common factor of 4

4(x^2 + 5x + 6) = 4(x + 3)(x + 2)

check

¶

Well, we SHOULD be able to double bubble...

(4x+8)(x+3)
Now, pull a 4 out of the first bubble:

4(x+2)(x+3)

Now set each part equal to zero:

4=0 /// >> Does not work. Invalid solution
x+2=0 >> x=-2
x+3=0 >> x=-3

4x²+20x+24 =
4(x²+5x+6) =
4(x + 3)(x + 2)

4x²+20x+24
4(x²+5x+6)
4(x+2)(x+3)