Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(f+1)(f+19)
Evaluate
f2+20f+19
Rewrite the expression
f2+(19+1)f+19
Calculate
f2+19f+f+19
Rewrite the expression
f×f+f×19+f+19
Factor out f from the expression
f(f+19)+f+19
Solution
(f+1)(f+19)
Show Solution
Find the roots
f1=−19,f2=−1
Evaluate
f2+20f+19
To find the roots of the expression,set the expression equal to 0
f2+20f+19=0
Factor the expression
More Steps
Evaluate
f2+20f+19
Rewrite the expression
f2+(19+1)f+19
Calculate
f2+19f+f+19
Rewrite the expression
f×f+f×19+f+19
Factor out f from the expression
f(f+19)+f+19
Factor out f+19 from the expression
(f+1)(f+19)
(f+1)(f+19)=0
When the product of factors equals 0,at least one factor is 0
f+1=0f+19=0
Solve the equation for f
More Steps
Evaluate
f+1=0
Move the constant to the right-hand side and change its sign
f=0−1
Removing 0 doesn't change the value,so remove it from the expression
f=−1
f=−1f+19=0
Solve the equation for f
More Steps
Evaluate
f+19=0
Move the constant to the right-hand side and change its sign
f=0−19
Removing 0 doesn't change the value,so remove it from the expression
f=−19
f=−1f=−19
Solution
f1=−19,f2=−1
Show Solution