Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−12)(x+11)
Evaluate
x2−x−132
Rewrite the expression
x2+(11−12)x−132
Calculate
x2+11x−12x−132
Rewrite the expression
x×x+x×11−12x−12×11
Factor out x from the expression
x(x+11)−12x−12×11
Factor out −12 from the expression
x(x+11)−12(x+11)
Solution
(x−12)(x+11)
Show Solution
Find the roots
x1=−11,x2=12
Evaluate
(x2−x−132)
To find the roots of the expression,set the expression equal to 0
x2−x−132=0
Factor the expression
More Steps
Evaluate
x2−x−132
Rewrite the expression
x2+(11−12)x−132
Calculate
x2+11x−12x−132
Rewrite the expression
x×x+x×11−12x−12×11
Factor out x from the expression
x(x+11)−12x−12×11
Factor out −12 from the expression
x(x+11)−12(x+11)
Factor out x+11 from the expression
(x−12)(x+11)
(x−12)(x+11)=0
When the product of factors equals 0,at least one factor is 0
x−12=0x+11=0
Solve the equation for x
More Steps
Evaluate
x−12=0
Move the constant to the right-hand side and change its sign
x=0+12
Removing 0 doesn't change the value,so remove it from the expression
x=12
x=12x+11=0
Solve the equation for x
More Steps
Evaluate
x+11=0
Move the constant to the right-hand side and change its sign
x=0−11
Removing 0 doesn't change the value,so remove it from the expression
x=−11
x=12x=−11
Solution
x1=−11,x2=12
Show Solution