Answered

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Question 10 of 25Which of the following are roots of the polynomial function below?Check all that apply.F(x) = 2x³-²-9x+6OA. 9-√55B. 2□ C. -3-√33D.9+√√554-3+√33E.SUBMIT

Question 10 Of 25Which Of The Following Are Roots Of The Polynomial Function BelowCheck All That ApplyFx 2x9x6OA 955B 2 C 333D9554333ESUBMIT class=

Sagot :

Given

F(x) = 2x³-²-9x+6

Find

roots of the polynomial function below

Explanation

we have to find the roots of the polynomial function.

[tex]\begin{gathered} f(x)=2x^3-x^2-9x+6 \\ f(x)=(x-2)(2x^2+3x-3) \end{gathered}[/tex]

now solve quadratic equation ,

[tex]\begin{gathered} 2x^2+3x-3=0 \\ \\ x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ \\ x=\frac{-3\pm\sqrt{(3)^2-4\times2\times(-3)}}{4} \\ \\ x=\frac{-3\pm\sqrt{9+24}}{4} \\ \\ x=\frac{-3\pm\sqrt{33}}{4} \end{gathered}[/tex]

Final Answer

Therefore , the correct options are B , C and E

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