solve (x^2+3x+2)find this
Answers
Answered by
4
Answer
( X + 1 ) ( X + 2 )
X ^ 2 + 3x + 2
Factor the expression by grouping. First, the expression needs to be rewritten as x^{2}+ax+bx+2. To find a and b, set up a system to be solved.
a + b = c
ab = 1 x 2 = 2
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. The only such pair is the system solution.
a = 1
b = 2
Rewrite x^ 2 + 3x + 2 as ( x^2 + x ) + (2x+2)
Factor out x in the first and 2 in the second group.
X (x+1) + 2 (x+1)
Factor out common term x+1 by using distributive property.
( x + 1 ) ( x + 2 )
( X + 1 ) ( X + 2 )
X ^ 2 + 3x + 2
Factor the expression by grouping. First, the expression needs to be rewritten as x^{2}+ax+bx+2. To find a and b, set up a system to be solved.
a + b = c
ab = 1 x 2 = 2
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. The only such pair is the system solution.
a = 1
b = 2
Rewrite x^ 2 + 3x + 2 as ( x^2 + x ) + (2x+2)
Factor out x in the first and 2 in the second group.
X (x+1) + 2 (x+1)
Factor out common term x+1 by using distributive property.
( x + 1 ) ( x + 2 )
Similar questions