Mathematics: Given f(x)=4x^3+7x^2-7x-10 factor f(x), given that -1 is a zero

Given f(x)=4x^3+7x^2-7x-10 factor f(x), given that

Ответ:

paco38

12.03.2022

If - 1 is a zero then
(x + 1)

is a factor.

Dividing with this factor using the long division approach, we get the quadratic factor to be,

$4 {x}^{2} + 3x - 10$
(see attachment).

We can rewrite the polynomial as
$f(x) = (x + 1)(4 {x}^{2} + 3x - 10)$

We can further factor as

$f(x) = (x + 1)(4 {x}^{2} - 5x + 8x - 10)$
That is

f(x) = (x + 1)(x + 2)(4x - 5)

Given f(x)=4x^3+7x^2-7x-10 factor f(x), given that -1 is a zero

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Ответ:

volocibel

10.12.2021

Mathematics

Sixths because you can convert 1/3 into 2/6 and then it is easy to add 3/6 plus 2/6

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Given f(x)=4x^3+7x^2-7x-10 factor f(x), given that -1 is a zero

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