Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(p−5)(p+4)
Evaluate
p2−p−20
Rewrite the expression
p2+(4−5)p−20
Calculate
p2+4p−5p−20
Rewrite the expression
p×p+p×4−5p−5×4
Factor out p from the expression
p(p+4)−5p−5×4
Factor out −5 from the expression
p(p+4)−5(p+4)
Solution
(p−5)(p+4)
Show Solution
Find the roots
p1=−4,p2=5
Evaluate
p2−p−20
To find the roots of the expression,set the expression equal to 0
p2−p−20=0
Factor the expression
More Steps
Evaluate
p2−p−20
Rewrite the expression
p2+(4−5)p−20
Calculate
p2+4p−5p−20
Rewrite the expression
p×p+p×4−5p−5×4
Factor out p from the expression
p(p+4)−5p−5×4
Factor out −5 from the expression
p(p+4)−5(p+4)
Factor out p+4 from the expression
(p−5)(p+4)
(p−5)(p+4)=0
When the product of factors equals 0,at least one factor is 0
p−5=0p+4=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+4=0
Solve the equation for p
More Steps
Evaluate
p+4=0
Move the constant to the right-hand side and change its sign
p=0−4
Removing 0 doesn't change the value,so remove it from the expression
p=−4
p=5p=−4
Solution
p1=−4,p2=5
Show Solution