Constants from Factorizing Mathematical Expressions.

((x^2 +ax +b)/(x^2 +11x +28))

((x^2 +4x -21)/(x^2 -9))= (x+2)/(x+3)

What is a+b=?

© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/math/algebra/constants-from-factorizing-mathematical-expressions-1qc

Solution Preview

... -21)=(x+7).(x-3)
(x^2 -9)=(x+3).(x-3)

so we have

((x^2 +ax +b).(x+7).(x-3))/ ...