Question Factor the expression Factor (k+1)(k+2) Evaluate k2+3k+2Rewrite the expression k2+(2+1)k+2Calculate k2+2k+k+2Rewrite the expression k×k+k×2+k+2Factor out k from the expression k(k+2)+k+2Solution (k+1)(k+2) Show Solution Find the roots Find the roots of the algebra expression k1=−2,k2=−1 Evaluate k2+3k+2To find the roots of the expression,set the expression equal to 0 k2+3k+2=0Factor the expression More Steps Evaluate k2+3k+2Rewrite the expression k2+(2+1)k+2Calculate k2+2k+k+2Rewrite the expression k×k+k×2+k+2Factor out k from the expression k(k+2)+k+2Factor out k+2 from the expression (k+1)(k+2) (k+1)(k+2)=0When the product of factors equals 0,at least one factor is 0 k+1=0k+2=0Solve the equation for k More Steps Evaluate k+1=0Move the constant to the right-hand side and change its sign k=0−1Removing 0 doesn't change the value,so remove it from the expression k=−1 k=−1k+2=0Solve the equation for k More Steps Evaluate k+2=0Move the constant to the right-hand side and change its sign k=0−2Removing 0 doesn't change the value,so remove it from the expression k=−2 k=−1k=−2Solution k1=−2,k2=−1 Show Solution