Answered

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)

Verified Answer :

meerkat18

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:

(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.



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