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forsale [732]
3 years ago
8

Show all work to factor x4 – 17x2 + 16 completely.

Mathematics
2 answers:
denis23 [38]3 years ago
4 0

Answer:

(x - 4)(x + 4)(x - 1)(x + 1)

Step-by-step explanation:

Given

x^{4} - 17x² + 16

Use the substitution u = x², then

u² - 17u + 16

Consider the factors of the constant term (+ 16) which sum to give the coefficient of the u- term (- 17)

The factors are - 16 and - 1, then

u² - 17u + 16

= (u - 16)(u - 1) ← replace u by x²

= (x² - 16)(x² - 1) ← both factors are difference of squares

= (x - 4)(x + 4)(x - 1)(x + 1)

Anastaziya [24]3 years ago
3 0

Answer: -18

Step-by-step explanation: x4-17x2+16= -18

i am not completely sure but here. i hope this helps god bless

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