Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x+1)(x+2)
Evaluate
x2+3x+2
Rewrite the expression
x2+(2+1)x+2
Calculate
x2+2x+x+2
Rewrite the expression
x×x+x×2+x+2
Factor out x from the expression
x(x+2)+x+2
Solution
(x+1)(x+2)
Show Solution
Find the roots
x1=−2,x2=−1
Evaluate
x2+3x+2
To find the roots of the expression,set the expression equal to 0
x2+3x+2=0
Factor the expression
More Steps
Evaluate
x2+3x+2
Rewrite the expression
x2+(2+1)x+2
Calculate
x2+2x+x+2
Rewrite the expression
x×x+x×2+x+2
Factor out x from the expression
x(x+2)+x+2
Factor out x+2 from the expression
(x+1)(x+2)
(x+1)(x+2)=0
When the product of factors equals 0,at least one factor is 0
x+1=0x+2=0
Solve the equation for x
More Steps
Evaluate
x+1=0
Move the constant to the right-hand side and change its sign
x=0−1
Removing 0 doesn't change the value,so remove it from the expression
x=−1
x=−1x+2=0
Solve the equation for x
More Steps
Evaluate
x+2=0
Move the constant to the right-hand side and change its sign
x=0−2
Removing 0 doesn't change the value,so remove it from the expression
x=−2
x=−1x=−2
Solution
x1=−2,x2=−1
Show Solution