Question

if x²-x-6andx²+3x-18 have a common factor (x-a) then find the value of a​

Answer 1

Answer:

3

Step-by-step explanation:

${x}^{2} - x - 6 \\ {x}^{2} - 3x + 2x - 6 \\ x(x - 3)2( x- 3) \\ (x - 3)(x + 2)$

${x}^{2} + 3x - 18 \\ x(x + 6) - 3(x + 6) \\ (x + 6)(x - 3)$

from 1 and 2 we have common factor (x-3)

therefore in (x-a) a=3