7 Given that 2 is a zero of Pxxx r 2 which of the following

7. Given that 2 is a zero of P(x)-x-x- r 2, which of the following represents the complete factorization of P(x)? a) P(x) = (x-2)( x-1)( x + 1) b) P(x) = (x-2)(x2 + x + 2) c) P(x) (x -2)(xD( 2) d) P(x) = (x-2)(x2 + x + 1) e) P(x) = (x-2)(x + 1)(x-2) ft) P(x)- (x -2)(x-xl

Solution

P(x)=x³-x²-x-2

2 is a zero therefore We have to divide P(x) by (x-2) to find the reduced polynomial.

P(x)=(x-2)(x²+x+1)

Correct option is d.