Question
Factor the expression
Factor
(p−5)(p+1)
Evaluate
p2−4p−5
Rewrite the expression
p2+(1−5)p−5
Calculate
p2+p−5p−5
Rewrite the expression
p×p+p−5p−5
Factor out p from the expression
p(p+1)−5p−5
Factor out −5 from the expression
p(p+1)−5(p+1)
Solution
(p−5)(p+1)
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Find the roots
Find the roots of the algebra expression
p1=−1,p2=5
Evaluate
p2−4p−5
To find the roots of the expression,set the expression equal to 0
p2−4p−5=0
Factor the expression
More Steps
Evaluate
p2−4p−5
Rewrite the expression
p2+(1−5)p−5
Calculate
p2+p−5p−5
Rewrite the expression
p×p+p−5p−5
Factor out p from the expression
p(p+1)−5p−5
Factor out −5 from the expression
p(p+1)−5(p+1)
Factor out p+1 from the expression
(p−5)(p+1)
(p−5)(p+1)=0
When the product of factors equals 0,at least one factor is 0
p−5=0p+1=0
Solve the equation for p
More Steps
Evaluate
p−5=0
Move the constant to the right-hand side and change its sign
p=0+5
Removing 0 doesn't change the value,so remove it from the expression
p=5
p=5p+1=0
Solve the equation for p
More Steps
Evaluate
p+1=0
Move the constant to the right-hand side and change its sign
p=0−1
Removing 0 doesn't change the value,so remove it from the expression
p=−1
p=5p=−1
Solution
p1=−1,p2=5
Show Solution