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g100num [7]
3 years ago
15

How do I do question 14?

Mathematics
2 answers:
cupoosta [38]3 years ago
4 0
U factorize number 14
alukav5142 [94]3 years ago
3 0

Answer: \\ f(x) = k {x}^{3}  - 8 {x}^{2} - x + 3k + 1 \\  \Rightarrow f(2) = k {2}^{3}  - 8 {2}^{2}  - 2 + 3k + 1 = 0 \\ \Leftrightarrow 8k - 32 - 2 + 3k + 1 = 0 \\ \Leftrightarrow 11k - 33 = 0 \\ \Leftrightarrow 11k = 33\Leftrightarrow k = 3 \\ \Rightarrow f(x) = 3 {x}^{3}  - 8 {x}^{2}  - x + 10 \\ Factored form:f(x) = (x + 1)(x - 2)(3x - 5) \\ Zeros: - 1,2, \frac{5}{3}

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