Question

Factor each polynomial completely. b) 5x6 - 25x5 + 30x4 +

Answer 1

Answer:

10x+5

Step-by-step explanation:

You add or subtract 5x by -25x by 30x to get 10x. However, then you add 6-5+4 which is 5.

Answer 2

Answer:

5$x^{4}$ (x - 3)(x - 2)

Step-by-step explanation:

5$x^{6}$ - 25$x^{5}$ + 30$x^{4}$ ← factor out 5$x^{4}$ from each term

= 5$x^{4}$ (x² - 5x + 6) ← factor the quadratic

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (- 5)

The factors are - 3 and - 2 , then

x² - 5x + 6 = (x - 3)(x - 2)

Then

5$x^{6}$ - 25$x^{5}$ + 30$x^{4}$ = 5$x^{4}$ (x - 3)(x - 2) ← in factored form