When ax3 +x2 -2x +b is divided by x+1, the remainder is 10. When it is divided by x-3, the remainder is -46. What is the value of a and b?

Step-by-step explanation:

Given

X+ 2 = 0

X = -2

on putting in polynomial

-8a +2b= 0

- 8a = 2b

b = -4a

Now

when divided by x - 1 give remainder -15

so

x - 1 = -15

x = -14

on putting in polynomial

-2744a + 198 + 14b - 4 = -14

-2744a + 56a = - 208

-2688a = -208

a = 168/13

Now

b = 672/13