Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(v−11)(v+2)
Evaluate
v2−9v−22
Rewrite the expression
v2+(2−11)v−22
Calculate
v2+2v−11v−22
Rewrite the expression
v×v+v×2−11v−11×2
Factor out v from the expression
v(v+2)−11v−11×2
Factor out −11 from the expression
v(v+2)−11(v+2)
Solution
(v−11)(v+2)
Show Solution
Find the roots
v1=−2,v2=11
Evaluate
v2−9v−22
To find the roots of the expression,set the expression equal to 0
v2−9v−22=0
Factor the expression
More Steps
Evaluate
v2−9v−22
Rewrite the expression
v2+(2−11)v−22
Calculate
v2+2v−11v−22
Rewrite the expression
v×v+v×2−11v−11×2
Factor out v from the expression
v(v+2)−11v−11×2
Factor out −11 from the expression
v(v+2)−11(v+2)
Factor out v+2 from the expression
(v−11)(v+2)
(v−11)(v+2)=0
When the product of factors equals 0,at least one factor is 0
v−11=0v+2=0
Solve the equation for v
More Steps
Evaluate
v−11=0
Move the constant to the right-hand side and change its sign
v=0+11
Removing 0 doesn't change the value,so remove it from the expression
v=11
v=11v+2=0
Solve the equation for v
More Steps
Evaluate
v+2=0
Move the constant to the right-hand side and change its sign
v=0−2
Removing 0 doesn't change the value,so remove it from the expression
v=−2
v=11v=−2
Solution
v1=−2,v2=11
Show Solution