Three different ways to put 6(3x + 8) + 32 + 12x

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Ответ:

genyjoannerubiera

26.08.2020

Mathematics

The value of c is 8.

Step-by-step explanation:

When a function is divisible by a factor, it will get 0 value. So, you have to substitute x = -2 into p(x) and equals to 0 :

$p(x) = 4 {x}^{3} + c {x}^{2} + x + 2$

$p( - 2) = 4 {( - 2)}^{3} + c {( - 2)}^{2} + ( - 2) + 2$

4( - 8) + 4c - 2 + 2 = 0

- 32 + 4c = 0

4c = 32

$c = 32 \div 4$

c = 8

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