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ASHA 777 [7]
3 years ago
6

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

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
8 0

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.

gtnhenbr [62]3 years ago
5 0

Answer:

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

Step-by-step explanation:

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

= 5x^{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

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

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