Answer
Chapter 6 - Section 6.2 - Exercise Set: 43 (Answer)
No factorization can be done with $r^2 - 3r + 6$.
Work Step by Step
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 $r^2 - 3r + 6$.
