Question

if th polynomial x^3 +2x^2-15ax-8 and x^3 +a^2-12x-6 when divided by x-2 and x-3 leave remainder p and q .if q-p =10 find a

Answer 1

So, p = -30a -24

and q = 9a -15

and as given in question,

q - p = 10

9a - 15 - ( -30a -24 ) = 10

9a - 15 + 30a + 24 = 10

39a + 9 = 10

39a = 10 - 9

39a = 1

a = 1/39


So , value of a = 1/39


@Altaf