Question

Factor x^5 - 5x^4 + 2x - 10
PLS SHOW WORK

Answer 1

x = 5

Explanation:

Input:

x^5 - 5 x^4 + 2 x - 10

Alternate forms:

(x - 5) (x^4 + 2)

x ((x - 5) x^3 + 2) - 10

-(x - 5) (-x^2 + 2^(3/4) x - sqrt(2)) (x^2 + 2^(3/4) x + sqrt(2))

x=5

Answer 2

(x-5)(x^4+2)

Explanation:

Step 1:

Factor out common terms in the first two terms, then in the last two terms.

x^4(x-5)+2(x-5)

Step 2:

Factor out the common term x-5.

(x-5)(x^4+2)

Done!