Question
Factor the expression
Factor
(m+1)(m+47)
Evaluate
m2+48m+47
Rewrite the expression
m2+(47+1)m+47
Calculate
m2+47m+m+47
Rewrite the expression
m×m+m×47+m+47
Factor out m from the expression
m(m+47)+m+47
Solution
(m+1)(m+47)
Show Solution
Find the roots
Find the roots of the algebra expression
m1=−47,m2=−1
Evaluate
m2+48m+47
To find the roots of the expression,set the expression equal to 0
m2+48m+47=0
Factor the expression
More Steps
Evaluate
m2+48m+47
Rewrite the expression
m2+(47+1)m+47
Calculate
m2+47m+m+47
Rewrite the expression
m×m+m×47+m+47
Factor out m from the expression
m(m+47)+m+47
Factor out m+47 from the expression
(m+1)(m+47)
(m+1)(m+47)=0
When the product of factors equals 0,at least one factor is 0
m+1=0m+47=0
Solve the equation for m
More Steps
Evaluate
m+1=0
Move the constant to the right-hand side and change its sign
m=0−1
Removing 0 doesn't change the value,so remove it from the expression
m=−1
m=−1m+47=0
Solve the equation for m
More Steps
Evaluate
m+47=0
Move the constant to the right-hand side and change its sign
m=0−47
Removing 0 doesn't change the value,so remove it from the expression
m=−47
m=−1m=−47
Solution
m1=−47,m2=−1
Show Solution