Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(p+1)(3p−5)
Evaluate
3p2−2p−5
Rewrite the expression
3p2+(−5+3)p−5
Calculate
3p2−5p+3p−5
Rewrite the expression
p×3p−p×5+3p−5
Factor out p from the expression
p(3p−5)+3p−5
Solution
(p+1)(3p−5)
Show Solution
Find the roots
p1=−1,p2=35
Alternative Form
p1=−1,p2=1.6˙
Evaluate
3p2−2p−5
To find the roots of the expression,set the expression equal to 0
3p2−2p−5=0
Factor the expression
More Steps
Evaluate
3p2−2p−5
Rewrite the expression
3p2+(−5+3)p−5
Calculate
3p2−5p+3p−5
Rewrite the expression
p×3p−p×5+3p−5
Factor out p from the expression
p(3p−5)+3p−5
Factor out 3p−5 from the expression
(p+1)(3p−5)
(p+1)(3p−5)=0
When the product of factors equals 0,at least one factor is 0
p+1=03p−5=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=−13p−5=0
Solve the equation for p
More Steps
Evaluate
3p−5=0
Move the constant to the right-hand side and change its sign
3p=0+5
Removing 0 doesn't change the value,so remove it from the expression
3p=5
Divide both sides
33p=35
Divide the numbers
p=35
p=−1p=35
Solution
p1=−1,p2=35
Alternative Form
p1=−1,p2=1.6˙
Show Solution