Question

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

Answer 1

Given

F(x) = 2x³-²-9x+6

Find

roots of the polynomial function below

Step-by-step explanation

we have to find the roots of the polynomial function.

`\begin{gathered} f(x)=2x^3-x^2-9x+6 \\ f(x)=(x-2)(2x^2+3x-3) \end{gathered}`

now solve quadratic equation ,

`\begin{gathered} 2x^2+3x-3=0 \\ \\ x=(-b\pm√(b^2-4ac))/(2a) \\ \\ x=(-3\pm√((3)^2-4*2*(-3)))/(4) \\ \\ x=(-3\pm√(9+24))/(4) \\ \\ x=(-3\pm√(33))/(4) \end{gathered}`

Final Answer

Therefore , the correct options are B , C and E