You may not use your calculator on this page. Use the following points and the method of undetermined coefficients to find a quadratic function whose graph would pass through these three points. You must do this using substitution or elimination and show all work clearly. (6 pts) (1, 5) (-2, 2) (-1, -1) a) Perform the polynomial division (3x3 2x2 + 5) ÷ (x 3). (3 pts) x – – – b) Express the result as an equation in the form = + (1 pt) p(x) f(x)q(x) r(x). Is x 3 a factor of 3x3 2x2 + 5? Explain your reasoning. (1 pt) x – – – Solve 2x2 11x + 12 = 0 by factoring. (3 pts) –
You may not use your calculator on this page. Use the following points and the method of undetermined coefficients to find a quadratic function whose graph would pass through these three points. You must do this using substitution or elimination and show all work clearly. (6 pts) (1, 5) (-2, 2) (-1, -1) a) Perform the polynomial division (3x3 – 2x2 + x – 5) ÷ (x – 3). (3 pts) b) Express the result as an equation in the form p(x) = f(x)q(x) + r(x). (1 pt) Is x – 3 a factor of 3x3 – 2x2 + x – 5? Explain your reasoning. (1 pt) Solve 2x2 – 11x + 12 = 0 by factoring. (3 pts)
HI4-U3L1%20Quiz.docx