Question
Factor the expression
Factor
(p−6)(p+2)
Evaluate
p2−4p−12
Rewrite the expression
p2+(2−6)p−12
Calculate
p2+2p−6p−12
Rewrite the expression
p×p+p×2−6p−6×2
Factor out p from the expression
p(p+2)−6p−6×2
Factor out −6 from the expression
p(p+2)−6(p+2)
Solution
(p−6)(p+2)
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Find the roots
Find the roots of the algebra expression
p1=−2,p2=6
Evaluate
p2−4p−12
To find the roots of the expression,set the expression equal to 0
p2−4p−12=0
Factor the expression
More Steps
Evaluate
p2−4p−12
Rewrite the expression
p2+(2−6)p−12
Calculate
p2+2p−6p−12
Rewrite the expression
p×p+p×2−6p−6×2
Factor out p from the expression
p(p+2)−6p−6×2
Factor out −6 from the expression
p(p+2)−6(p+2)
Factor out p+2 from the expression
(p−6)(p+2)
(p−6)(p+2)=0
When the product of factors equals 0,at least one factor is 0
p−6=0p+2=0
Solve the equation for p
More Steps
Evaluate
p−6=0
Move the constant to the right-hand side and change its sign
p=0+6
Removing 0 doesn't change the value,so remove it from the expression
p=6
p=6p+2=0
Solve the equation for p
More Steps
Evaluate
p+2=0
Move the constant to the right-hand side and change its sign
p=0−2
Removing 0 doesn't change the value,so remove it from the expression
p=−2
p=6p=−2
Solution
p1=−2,p2=6
Show Solution