fx 9 2x6 A Yes degree 16 B No x is raised to the negative

f(x) = 9 - 2/x^6 A) Yes; degree 1/6 B) No; x is raised to the negative C) Yes; degree -6 D) Yes; degree 6 Form a polynomial whose zeros and degree are given. Zeros: -3, multiplicity 2; 3, multiplicity 1; degree 3 A) x^3 + 3x^2 - 9x - 27 B) x^3 + 6x^2 - 9x - 27 C) x^3 - 3x^2 - 9x + 27 D) x^3 - 3x^2 - 18x + 27 For the polynomial, list each real zero and its multiplicity. Determine whether the graph cross each x -intercept. f(x) = 1/5 x^4 (x^2 - 3) (x + 4)

Solution

Polynomial : zeros = -3 (multiplicty 2) = (x+3)^2

= 3 (multiplity 1) = (x+3)

So, P(x) = (x-3)(x+3)^2 = (x-3)(x^2 + 6x +9)

= x^3 +6x^2 + 9x - 3x^2 -18x - 27

= x^3 + 3x^2 - 9x - 27

Option A