Respuesta :
3x² + 6x - 24
Simplify 3.
3(x² + 6x - 8)
Think of x² +2x−8. Factor the expression by grouping. First, we need to rewrite the expression as x² + ax + bx - 8. To find a and b, set up a system to be solved.
- a + b = 2
- ab = 1( −8 ) = −8
Since ab is negative, a and b have opposite signs. Since a+b is positive, the positive number has a greater absolute value than the negative. Show all pairs of integers whose product is −8.
- −1,8
- −2,4
Calculate the sum of each pair.
- −1 + 8 = 7
- −2 + 4 = 2
The solution is the pair that gives sum 2
- a=−2
- b=4
Rewrite x² + 2x − 8 as (x² − 2x ) + (4x − 8).
- (x² − 2x ) + (4x − 8)
Simplify x in the first group and 4 in the second.
- x ( x − 2) + 4( x − 2 )
Simplify the common term x−2 with the distributive property.
- ( x − 2 )( x + 4 )
The entire factored expression is rewritten.
3 ( x − 2 )( x + 4 ) ===> Answer
We conclude that the correct option is "B".
{ Pisces04 }
It's B. 3(x-2)(x+4)
first simplify the 3 from 3,6,-24
that leaves you to have an equation of x^2+2x-8 which you would then use the quadratic formula to get (x-2)(x+4).
don't forget to add the 3 from when you simplified, so it leaves you to have answer of 3(x-2)(x+4)!
DM me if you need me to show the work on paper :D!
first simplify the 3 from 3,6,-24
that leaves you to have an equation of x^2+2x-8 which you would then use the quadratic formula to get (x-2)(x+4).
don't forget to add the 3 from when you simplified, so it leaves you to have answer of 3(x-2)(x+4)!
DM me if you need me to show the work on paper :D!
