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2Y² - 38Y -228

=2(Y²-19Y-114)

GENERALLY YOU NEED TO FIND TWO NUMBERS SO THAT

1.THEIR SUM IS -19

2.PRODUCT IS -114

BUT IN THIS CASE, IT IS NOT POSSIBLE.

SO FIRST FIND THE SOLUTION BY

Y = AND

OR Y = (19 + √817) AND (19 - √817)

NOW ONCE YOU GET THE SOLUTIONS, YOU CAN DIRECTLY WRITE THE FACTORIZATION AS

2(Y - (19 + √817))(Y - (19 - √817))

=2(Y²-19Y-114)

GENERALLY YOU NEED TO FIND TWO NUMBERS SO THAT

1.THEIR SUM IS -19

2.PRODUCT IS -114

BUT IN THIS CASE, IT IS NOT POSSIBLE.

SO FIRST FIND THE SOLUTION BY

Y = AND

OR Y = (19 + √817) AND (19 - √817)

NOW ONCE YOU GET THE SOLUTIONS, YOU CAN DIRECTLY WRITE THE FACTORIZATION AS

2(Y - (19 + √817))(Y - (19 - √817))

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### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

2 (y² - 19 y - 114 )

114 = 3 * 2 * 19 - factorization does not seem to be possible directly with these factors.

roots are = [ - b +- sqrt(b² - 4a c) ] / 2

= [19 +- sqrt(361 + 456) ] / 2 = (19+ √817 )/ 2 and (19-√817)/2

So three factors are :

114 = 3 * 2 * 19 - factorization does not seem to be possible directly with these factors.

roots are = [ - b +- sqrt(b² - 4a c) ] / 2

= [19 +- sqrt(361 + 456) ] / 2 = (19+ √817 )/ 2 and (19-√817)/2

So three factors are :

**2 , [ y - (19 + √817) /2 ] and [ y - (19 - √817)/2 ]**