Answer:
-3, -5 ;;; (x-5)(x-3)
Step-by-step explanation:
The current equation we have is x² - 8x + 15
Now, we will have to filter the middle term is such a way that the there would be a common factor for the 2 groups out of the 4.
ok, so how do we divide the middle term?
Simple, we multiply the consonant in the equation with the numerical consonant of the first term...
The consonant we have : 15
numerical consonant: 1
The product would be 15 × 1 which is 15.
Now, we will have to break -8x in a way by which the two terms product would be 15.
The only possible way is -3 and -5
The equation now would be = x² - 3x - 5x + 15
Now, we will need to break these 4 terms to 2.
x ( x - 3 ) -5 ( x - 3 )
( x - 5 )( x - 3 )
Now, we got the factored form and the two numbers we have used are-3 and -5.
Hope I helped!
