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09-12-2020
Mathematics

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Angie divides the polynomial function f(x)=x3+3x2−7x−21 by (x + 3). What can she conclude from the fact that the remainder is equal to 0?

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mhanifa mhanifa

18-12-2020

Answer:

See below

Step-by-step explanation:

Given function

f(x)=x³ + 3x²- 7x - 21

We can find its factors:

x³ + 3x² - 7x - 21 =
x²(x + 3) - 7(x + 3) =
(x² - 7)(x + 3)

We can conclude that the given polynomial function is fully divisible by (x + 3) and the quotient is (x² - 7)

Also one of zeros of the function is -3

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