W PRIVATE 5011001. tars) Unit 3 Polynomial and Rational Equations and Inequalities Due Date: Investigation Assignment Learning Goal: C33: Determine, through investigation using technology, the connection between the real roots of a polynomial equation and the xintercepts of the graph of the corresponding polynomial function, and describe this connection 1. Given the equation x2 7x + 10 = y [KinAfCl a. Determine its x-intercepts. b. Solve x2 7x + 10 = D, to determine its real roots c. Use any Graphing technology, including Desmos, to draw the graph of the expression 1:2 7x + 10. Label the zeroesfx-intercepts on the graph. d. Describe the relationship between the x-intercepts, labelled on the graph obtained for the above quadratic relation, and the real roots of the corresponding equation. 2. Given the equation x3 + 9x2 + 8x + 60 = y [KfoAfcl a. Determine its x-intercepts. b. Solve x3 + 9x2 + 8x + 60 = 0, to determine its real roots c. Use any Graphing technology including Desmos to draw the graph of the expression 13 + 9x2 + 8x + 60 . Label the zeroesfx-intercepts on the graph. d. Describe the relationship between the x-intercepts, labelled on the graph obtained for the above cubic relation, and the real roots of the corresponding equation. 3. Describe whether the relationship found, in part 1d. and part 2d. of the above two questions, similar. What can be concluded about the existence of this relationship for polynomial functions of all degree including the degree higher than 2? Explain in a brief paragraph. (KITIAJQ NOTE: Please support your investigation by attaching the graphs