Question

(2) Determine whether the statements are true or false: If P(x) = (x - 5)(x+7)(x-10)"(x +8)', then the graph of the polynomial function y=P(x) (1) tangent to the x-axis at (-8,0) (ii) crosses to the the x-axis at (10,0) (iii) tangent the x-axis at (-7,0) (iv) tangent to the x axis at (5,0) (v) crosses the x-axis at (-8, 0)

Answer 1

we have if it is a solution:- false To decide the statemenls toue or one thing ie. Graph is tangent to x anis zero with even multiplicity and graph crrosses the anis if it has with odd multiplicity. Given pcx) = (x-5)6 (x2 +7 (x-10)" (H+8) 2. » zero i] True C: (-810) is zero with even multiplicity) Taue C: (10,0) is zero with odd multiplicity) ET False (:(-1,0) is zero with odd multiplicity ) i It crosses to de areis. iu) True C: (5,0) is zero with even multiplicity) v) False (: (-810) is zero with even multiplicity)