Question

X-1 is a factor of which of the following?

1.x²+x-2
11.2x2–5x+3
O Neither
OI only
O II only
OI and II

Answer 1

To determine if x-1 is a factor of a given polynomial, perform polynomial long division or synthetic division. If the remainder is 0, x-1 is a factor. Applying this to the given polynomials, neither have x-1 as a factor.

Step-by-step explanation:

To determine if x-1 is a factor of a given polynomial, we need to check if the polynomial is divisible by x-1. We can do this by performing polynomial long division or synthetic division. If the remainder is 0, then x-1 is a factor. Let's apply this to the given polynomials:

1. x²+x-2: Performing polynomial long division, we have (x²+x-2)/(x-1) = x+2. Since the remainder is not 0, x-1 is not a factor.
2. 2x²–5x+3: Performing synthetic division, we have (2x²–5x+3)/(x-1) = 2x-3. Since the remainder is not 0, x-1 is not a factor.

Therefore, Neither of the given polynomials have x-1 as a factor.