Factor the polynomial completely.
find a gcf: –2x2 + 2 + 5x3 – 5x
gcf = –2 gcf = 5x
factor out the gcf: –2(x2 – 1) + 5x(x2 – 1)
which product of prime polynomials is equivalent to the original polynomial?
(–2 – 5x)(x2 – 1)
(–2 + 5x)(x2 – 1)
(–2 – 5x)(x – 1)(x + 1)
(–2 + 5x)(x – 1)(x + 1)

Option D is correct

Step-by-step explanation:

The original polynomial is:

–2x2 + 2 + 5x3 – 5x

Arranging in decreasing power of x:

Factoring the given polynomial by grouping:

Now, (x^2-1) can be further solved using formula:

(a^2-b^2)=(a-b)(a+b)

Solving:

So, represents the factors of

Hence Option D is correct.

answer: a

step-by-step explanation:

45

step-by-step explanation: