Question

determine if x+1 and x-2 are factors of polynomial p(x)=1-x-2x²​

Answer 1

Step-by-step explanation:

To determine the factors of p(x) let us find the zero of the polynomial.

p(x)= 1 - x -2x^2=0

2x^2+x-1=0

By factorizing the equation,

x= -1 and +1/2

To check the values of x,

p(-1) = 1 - (-1) - 2 (-1) ^2 = 2- 1 - 1 = 0

p(1/2)= 1 - (1/2) - 2 (1/2)^2 = 1 - 1/2 - 1/2 = 0

Then it factors are

(x+1) and (x-1/2)

(x-1/2) = (2x-1)

THUS THE ANSWER IS (x+1) and (2x-1) are the factor of the polynomial p(x)= 1 - x - 2x^2