Question

When (x³ - 2x² + px - 9) is divided by
(x² - 2x - 3), the remainder is (x - 6). The
values of p and q respectively are​

Answer 1

Answer:

p=-2,q=6

Step-by-step explanation:

x^2-2x-3=(x+1)(x-3)

x=-1,x=3

We know that x^3-2x^2+px-q-(x-6)=0

we put x=-1 then we get

p+q=4........(1)

we put x=3 we get

3p-q=-12.......(2)

we add equation (1) and(2)

we get p=-2

p=-2put in equation (1) then we get

q=6