Question

the remainder when the polynomial f(x) =2x^3 + px^2 + qx 18 is divided by (x-1) is 10. When it is divided by x+1 the remainder is 12. Find the values of the consonants p and q

Answer 1

p = 29 and q = -3

Explanation:

Using long division, the remainder when we divide by x − 1 is p+q−16. The remainder when we divide by x + 1 is p−q−20.

Therefore:

p + q − 16 = 10

p − q − 20 = 12

Add the equations together:

2p − 36 = 22

2p = 58

p = 29

Plug into either equation to find q:

q = -3