ArtyomK86590 ArtyomK86590
  • 25-10-2022
  • Mathematics
contestada

awnser the question below factor the following polynomial into linear factors real and complex and find all zeros p(x)=x^3+2x^2+9x+18

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BronteZ138605 BronteZ138605
  • 25-10-2022

we have the polynomial

[tex]p\mleft(x\mright)=x^3+2x^2+9x+18​[/tex]

For x=-2

the value of p(x) is equal to zero

so

(x+2) is a linear factor

Find out the other factors

Divide

x^3+2x^2+9x+18 : (x+2)

x^2+9

-x^3-2x^2

-------------------------

9x+18

-9x-18

-------------

0

so

x^3+2x^2+9x+18=(x+2)(x^2+9)

Solve the quadratic equation

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Answer Link

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