Question

8. The polynomial p(x) = x3 + ax2 + bx - 20 when
divided by x - 5 and x - 3 leaves the remainders
O and -2 respectively. Find the values of a and b.​

Answer 1

Answer:

Step-by-step explanation:

Apply remainder theorem, The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x - a, the remainder of that division will be equivalent to f(a).

apply it for x-5 and x-3

u get 2 equations 5a+b+21=0

and 9a+3b+7=0

u get a=9

b=-66