Question

The H.C.F of (a? - aʼx),(a – ax?) and (a* - ax?) is​

Answer 1

Answer:

if x + 2 is HCF of a x^{2} - b x -c \ \ and \ \ b x^{2} - a x + c \\ 


it means that x = -2 is  a root of the quadratic expressions and if you substitute x = -2 in the above expressions, their value is zero.

4 a + 2b - c = 0 \\ 4b +2 a +c = 0 \\

Add the two equations. we get

6 a + 6 b + 0 c = 0 \\ 6 a = - 6b \\ a = -b \\

Step-by-step explanation:

Answer 2

if x + 2 is HCF of a x^{2} - b x -c \ \ and \ \ b x^{2} - a x + c \\ . it means that x = -2 is a root