Question

if x square - x - 6 and x square + 3x -18 have a common factor x - a. Find value of a

Answer 1

☆Hey mate!!

Your answer is in the pic. Refer to it and ask if any doubts occur.

☆Hope it helps!!

Answer 2

${x}^{2} - x - 6 = {x}^{2} + 3x - 18 \\ x = a .......1 \\ p(a) = {a }^{2} - a - 6 = {a}^{2} + 3a - 18 \\ - a - 6 = 3a - 18 \\ - a = 3a - 18 + 6 \\ - 4a = - 12 \\ 4a = 12 \\ a = 4 \div 12 \\ a = 3$