Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−13)(x+2)
Evaluate
x2−11x−26
Rewrite the expression
x2+(2−13)x−26
Calculate
x2+2x−13x−26
Rewrite the expression
x×x+x×2−13x−13×2
Factor out x from the expression
x(x+2)−13x−13×2
Factor out −13 from the expression
x(x+2)−13(x+2)
Solution
(x−13)(x+2)
Show Solution
Find the roots
x1=−2,x2=13
Evaluate
x2−11x−26
To find the roots of the expression,set the expression equal to 0
x2−11x−26=0
Factor the expression
More Steps
Evaluate
x2−11x−26
Rewrite the expression
x2+(2−13)x−26
Calculate
x2+2x−13x−26
Rewrite the expression
x×x+x×2−13x−13×2
Factor out x from the expression
x(x+2)−13x−13×2
Factor out −13 from the expression
x(x+2)−13(x+2)
Factor out x+2 from the expression
(x−13)(x+2)
(x−13)(x+2)=0
When the product of factors equals 0,at least one factor is 0
x−13=0x+2=0
Solve the equation for x
More Steps
Evaluate
x−13=0
Move the constant to the right-hand side and change its sign
x=0+13
Removing 0 doesn't change the value,so remove it from the expression
x=13
x=13x+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=13x=−2
Solution
x1=−2,x2=13
Show Solution