Question

Given the binomials (x - 3), (x - 1), (x + 2), and (x + 3), which one is a factor of f(x) = 2x3 + 3x2 - 2x - 3?

(x - 3)

(x - 1)

(x + 2)

(x + 3)

Answer 1

We are given the function f(x) = 2x3 + 3x2 - 2x - 3 and is asked for the factor from the given (x - 3), (x - 1), (x + 2), and (x + 3). We just have to substitute the factor to the function and find out which one is equal to zero. in this case, the answer is (x-1). 

Answer 2

(x-1) is factor of our function.

Explanation:

We are given a function
`f(x)=2x^(3) +3x^(2) -2x-3` and we are asked to find the correct factor from the given options.

Let us factor out our polynomial.

`2x^(3) +3x^(2) -2x-3`

`x^(2) (2x+3)-1(2x+3)`

`(x^(2) -1)(2x+3)`

`(x+1)(x-1)(2x+3)`

Therefore, (x-1) is correct choice for factor of our polynomial.