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?

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

Answer:

(x-1) is factor of our function.

Step-by-step 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.