## Algebra: A Combined Approach (4th Edition)

Chapter 6 - Section 6.2 - Exercise Set: 43 (Answer) No factorization can be done with $r^2 - 3r + 6$.
Chapter 6 - Section 6.2 - Exercise Set: 43 (Solution) Factorize : $r^2 - 3r + 6$ For this, we have to look for two numbers whose product is +6 and whose sum is -3. Factors of 6 $\Longleftrightarrow$ Sum of Factors 1,6 $\Longleftrightarrow$ 7 (Incorrect sum) 2,3 $\Longleftrightarrow$ 5 (Incorrect sum) -1,-6 $\Longleftrightarrow$ -7 (Incorrect sum) -2,-3 $\Longleftrightarrow$ -5 (Incorrect sum) As there are no two numbers that can have a product of +6 and a sum of -3, no factorization can be done with $r^2 - 3r + 6$.