Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−4)(x−2)
Evaluate
x2−6x+8
Rewrite the expression
x2+(−2−4)x+8
Calculate
x2−2x−4x+8
Rewrite the expression
x×x−x×2−4x+4×2
Factor out x from the expression
x(x−2)−4x+4×2
Factor out −4 from the expression
x(x−2)−4(x−2)
Solution
(x−4)(x−2)
Show Solution
Find the roots
x1=2,x2=4
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+(−2−4)x+8
Calculate
x2−2x−4x+8
Rewrite the expression
x×x−x×2−4x+4×2
Factor out x from the expression
x(x−2)−4x+4×2
Factor out −4 from the expression
x(x−2)−4(x−2)
Factor out x−2 from the expression
(x−4)(x−2)
(x−4)(x−2)=0
When the product of factors equals 0,at least one factor is 0
x−4=0x−2=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=4x−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=4x=2
Solution
x1=2,x2=4
Show Solution