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Anit [1.1K]
2 years ago
10

Use synthetic division to detemine if x+1 is a factor of f(x) for f(x) x^3-7x^2+8x+16

Mathematics
1 answer:
Gennadij [26K]2 years ago
6 0

Answer:

It is a factor

Step-by-step explanation:

[x³ -7x² + 8x + 16] ÷ (x + 1)

[x³ + x² - 8x² - 8x + 16x + 16] ÷ (x + 1)

[x²(x + 1) - 8x(x + 1) + 16(x + 1)] ÷ (x + 1)

x² - 8x + 16 and tye remainder is 0.

So, yes (x + 1) is a factor

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