Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
p2+9p+8
Evaluate
(p+8)(p+1)
Apply the distributive property
p×p+p×1+8p+8×1
Multiply the terms
p2+p×1+8p+8×1
Any expression multiplied by 1 remains the same
p2+p+8p+8×1
Any expression multiplied by 1 remains the same
p2+p+8p+8
Solution
More Steps
Evaluate
p+8p
Collect like terms by calculating the sum or difference of their coefficients
(1+8)p
Add the numbers
9p
p2+9p+8
Show Solution
Find the roots
p1=−8,p2=−1
Evaluate
(p+8)(p+1)
To find the roots of the expression,set the expression equal to 0
(p+8)(p+1)=0
Separate the equation into 2 possible cases
p+8=0p+1=0
Solve the equation
More Steps
Evaluate
p+8=0
Move the constant to the right-hand side and change its sign
p=0−8
Removing 0 doesn't change the value,so remove it from the expression
p=−8
p=−8p+1=0
Solve the equation
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=−8p=−1
Solution
p1=−8,p2=−1
Show Solution