Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(q+1)(q+23)
Evaluate
q2+24q+23
Rewrite the expression
q2+(23+1)q+23
Calculate
q2+23q+q+23
Rewrite the expression
q×q+q×23+q+23
Factor out q from the expression
q(q+23)+q+23
Solution
(q+1)(q+23)
Show Solution
Find the roots
q1=−23,q2=−1
Evaluate
q2+24q+23
To find the roots of the expression,set the expression equal to 0
q2+24q+23=0
Factor the expression
More Steps
Evaluate
q2+24q+23
Rewrite the expression
q2+(23+1)q+23
Calculate
q2+23q+q+23
Rewrite the expression
q×q+q×23+q+23
Factor out q from the expression
q(q+23)+q+23
Factor out q+23 from the expression
(q+1)(q+23)
(q+1)(q+23)=0
When the product of factors equals 0,at least one factor is 0
q+1=0q+23=0
Solve the equation for q
More Steps
Evaluate
q+1=0
Move the constant to the right-hand side and change its sign
q=0−1
Removing 0 doesn't change the value,so remove it from the expression
q=−1
q=−1q+23=0
Solve the equation for q
More Steps
Evaluate
q+23=0
Move the constant to the right-hand side and change its sign
q=0−23
Removing 0 doesn't change the value,so remove it from the expression
q=−23
q=−1q=−23
Solution
q1=−23,q2=−1
Show Solution