Question
Factor the expression
(k−6)(k+4)
Evaluate
k2−2k−24
Rewrite the expression
k2+(4−6)k−24
Calculate
k2+4k−6k−24
Rewrite the expression
k×k+k×4−6k−6×4
Factor out k from the expression
k(k+4)−6k−6×4
Factor out −6 from the expression
k(k+4)−6(k+4)
Solution
(k−6)(k+4)
Show Solution

Find the roots
k1=−4,k2=6
Evaluate
k2−2k−24
To find the roots of the expression,set the expression equal to 0
k2−2k−24=0
Factor the expression
More Steps

Evaluate
k2−2k−24
Rewrite the expression
k2+(4−6)k−24
Calculate
k2+4k−6k−24
Rewrite the expression
k×k+k×4−6k−6×4
Factor out k from the expression
k(k+4)−6k−6×4
Factor out −6 from the expression
k(k+4)−6(k+4)
Factor out k+4 from the expression
(k−6)(k+4)
(k−6)(k+4)=0
When the product of factors equals 0,at least one factor is 0
k−6=0k+4=0
Solve the equation for k
More Steps

Evaluate
k−6=0
Move the constant to the right-hand side and change its sign
k=0+6
Removing 0 doesn't change the value,so remove it from the expression
k=6
k=6k+4=0
Solve the equation for k
More Steps

Evaluate
k+4=0
Move the constant to the right-hand side and change its sign
k=0−4
Removing 0 doesn't change the value,so remove it from the expression
k=−4
k=6k=−4
Solution
k1=−4,k2=6
Show Solution
