Mathematics: Pre calc ! topic: rational functions if f(x)=2x^3-bx^2+cx+12, were b and c integers, list all possible rational roots of f(x)

Pre calc ! topic: rational functions if f(x)=2x^3-bx^2+cx+12,

Ответ:

jbernaaaaaal

10.03.2022

Mathematics

$\bold{\pm \{1, 2, 3, 4, 6, 12, \dfrac{1}{2}, \dfrac{3}{2}\}}$

Step-by-step explanation:

Q P

f(x) = 2x³ - bx² + cx + 12

Possible rational roots are all of the factors of P divided by all of the factors of Q, including both positive and negative signs.

$\quad \pm \dfrac{\text{factors of P}}{\text{factors of Q}}\\\\=\pm \dfrac{\text{factors of 12}}{\text{factors of 2}}\\\\=\pm \dfrac{1,2,3,4,6,12}{1,2}\\\\=\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \dfrac{1}{2}, \pm \dfrac{3}{2}\\$

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Ответ:

chefdnguyen

09.06.2022

Mathematics

Step-by-step explanation:

ask peter parker from spiderman 1

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Pre calc ! topic: rational functions if f(x)=2x^3-bx^2+cx+12, were b and c integers, list all possible rational roots of f(x)

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