Question

if x+1 and x-1 are the factors of px3+x2-2x+q .find the value of p and q

Answer 1

Answer:

Step-by-step explanation:

(x+1) and (x-1) are the factors of the polynomial

X= 1, -1

p(1) = p(1)^3 +(1)^2 -2(1) +q

 0 = p +1 -2 +q

  p+q = 1          - equation 1

p(-1) = p(-1)^3 +(-1)^2 -2(-1) + q

   0 = -p+1+2+q

    p-q = 3          - equation 2

adding equation 1 and 2

2p = 4 => p = 2

substituting p=2 in equation 1

2+q = 1  => q = 1-2    => q = (-1)