If f(x) = 4x3 + x2 – 16x – 4 and f(2) = 0, then find all of the zeros of f(x)
algebraically.

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Ответ:

ineedcoffee

14.03.2020

Mathematics

x = -9, 10

Step-by-step explanation:

$x^2 - x = 90\\$

Solve this as a quadratic equation, so subtract 90 from both sides:

x^2-x-90=0

Factoring:

(x+9)(x-10) = 0

This means that:

$x + 9 = 0\\\\x=-9\\or\\x - 10 = 0\\x = 10$

x can be -9 or 10.

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If f(x) = 4x3 + x2 – 16x – 4 and f(2) = 0, then find all of the zeros of f(x) algebraically.