Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x+2)(x+4)
Evaluate
x2+6x+8
Rewrite the expression
x2+(4+2)x+8
Calculate
x2+4x+2x+8
Rewrite the expression
x×x+x×4+2x+2×4
Factor out x from the expression
x(x+4)+2x+2×4
Factor out 2 from the expression
x(x+4)+2(x+4)
Solution
(x+2)(x+4)
Show Solution
Find the roots
x1=−4,x2=−2
Evaluate
x2+6x+8
To find the roots of the expression,set the expression equal to 0
x2+6x+8=0
Factor the expression
More Steps
Evaluate
x2+6x+8
Rewrite the expression
x2+(4+2)x+8
Calculate
x2+4x+2x+8
Rewrite the expression
x×x+x×4+2x+2×4
Factor out x from the expression
x(x+4)+2x+2×4
Factor out 2 from the expression
x(x+4)+2(x+4)
Factor out x+4 from the expression
(x+2)(x+4)
(x+2)(x+4)=0
When the product of factors equals 0,at least one factor is 0
x+2=0x+4=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=−2x+4=0
Solve the equation for x
More Steps
Evaluate
x+4=0
Move the constant to the right-hand side and change its sign
x=0−4
Removing 0 doesn't change the value,so remove it from the expression
x=−4
x=−2x=−4
Solution
x1=−4,x2=−2
Show Solution