Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−4)(x−1)
Evaluate
x2−5x+4
Rewrite the expression
x2+(−1−4)x+4
Calculate
x2−x−4x+4
Rewrite the expression
x×x−x−4x+4
Factor out x from the expression
x(x−1)−4x+4
Factor out −4 from the expression
x(x−1)−4(x−1)
Solution
(x−4)(x−1)
Show Solution
Find the roots
x1=1,x2=4
Evaluate
x2−5x+4
To find the roots of the expression,set the expression equal to 0
x2−5x+4=0
Factor the expression
More Steps
Evaluate
x2−5x+4
Rewrite the expression
x2+(−1−4)x+4
Calculate
x2−x−4x+4
Rewrite the expression
x×x−x−4x+4
Factor out x from the expression
x(x−1)−4x+4
Factor out −4 from the expression
x(x−1)−4(x−1)
Factor out x−1 from the expression
(x−4)(x−1)
(x−4)(x−1)=0
When the product of factors equals 0,at least one factor is 0
x−4=0x−1=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−1=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=4x=1
Solution
x1=1,x2=4
Show Solution