Question

Q(x) = 2(x-3)2(x2+3) Determine whether G(x) is a polynomial or not. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A His a polynomial of degree 4. (Type an integer or a fraction.) OB. It is not a polynomial because the variable x is raised to the power, which is not a nonnegative integer (Type an integer or a fraction) OC. It is not a polynomial because the function is the ratio of two distinct polynomials, and the polynomial in the denominator is of positive degree Write the polynomial in standard form. Then identify the leading term and the constant term. Select the correct choice below and, if necessary, fill in the answer box to complete your cho O A The polynomial in standard form is G(X) = with leading term and constant (Simplify your answers. Use integers or fractions for any numbers in the expressions.) OB. The function is not a polynomial

Answer 1

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Solution : 6/21) > 2(x-3)2(22+3) → G(X) = 2(32-6X +9)(x2+3) > G(X) = 2x4 - 6x2 +9x2+3x2 - 18%+27) » G (2) 224-1203 +2422 – 36X +54 W :: G(X) is a polynomial of ANSWER -> () degree 4 ii) ANSWER -> OPTION (A) : The polynomial in standard form is G(x) = 2x" 72x3+24762—36X +54 with leading term 12 and a constant 154

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