Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
5(p−17)(p+1)
Evaluate
5p2−80p−85
Rewrite the expression
5p2−5×16p−5×17
Factor out 5 from the expression
5(p2−16p−17)
Solution
More Steps
Evaluate
p2−16p−17
Rewrite the expression
p2+(1−17)p−17
Calculate
p2+p−17p−17
Rewrite the expression
p×p+p−17p−17
Factor out p from the expression
p(p+1)−17p−17
Factor out −17 from the expression
p(p+1)−17(p+1)
Factor out p+1 from the expression
(p−17)(p+1)
5(p−17)(p+1)
Show Solution
Find the roots
p1=−1,p2=17
Evaluate
5p2−80p−85
To find the roots of the expression,set the expression equal to 0
5p2−80p−85=0
Factor the expression
More Steps
Evaluate
5p2−80p−85
Rewrite the expression
5p2−5×16p−5×17
Factor out 5 from the expression
5(p2−16p−17)
Factor the expression
More Steps
Evaluate
p2−16p−17
Rewrite the expression
p2+(1−17)p−17
Calculate
p2+p−17p−17
Rewrite the expression
p×p+p−17p−17
Factor out p from the expression
p(p+1)−17p−17
Factor out −17 from the expression
p(p+1)−17(p+1)
Factor out p+1 from the expression
(p−17)(p+1)
5(p−17)(p+1)
5(p−17)(p+1)=0
Divide the terms
(p−17)(p+1)=0
When the product of factors equals 0,at least one factor is 0
p−17=0p+1=0
Solve the equation for p
More Steps
Evaluate
p−17=0
Move the constant to the right-hand side and change its sign
p=0+17
Removing 0 doesn't change the value,so remove it from the expression
p=17
p=17p+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=17p=−1
Solution
p1=−1,p2=17
Show Solution