Chapter 5: Exercises with Solutions

Section 5.3 Zeros of the Quadratic 4735.3 ExercisesIn Exercises 1-8, factor the given quadraticpolynomial.1. x 2 + 9x + 142. x 2 + 6x + 53. x 2 + 10x + 94. x 2 + 4x − 215. x 2 − 4x − 56. x 2 + 7x − 87. x 2 − 7x + 128. x 2 + 5x − 24In Exercises 9-16, find the zeros of thegiven quadratic function.9. f(x) = x 2 − 2x − 1510. f(x) = x 2 + 4x − 3211. f(x) = x 2 + 10x − 3912. f(x) = x 2 + 4x − 4513. f(x) = x 2 − 14x + 4014. f(x) = x 2 − 5x − 1415. f(x) = x 2 + 9x − 3616. f(x) = x 2 + 11x − 26In Exercises 17-22, perform each of thefollowing tasks for the quadratic functions.i. Load the function into Y1 of the Y= ofyour graphing calculator. Adjust thewindow parameters so that the vertexis visible in the viewing window.ii. Set up a coordinate system on yourhomework paper. Label and scale eachaxis with xmin, xmax, ymin, and ymax.Make a reasonable copy of the imagein the viewing window of your calculatoron this coordinate system andlabel it with its equation.iii. Use the zero utility on your graphingcalculator to find the zeros of thefunction. Use these results to plotthe x-intercepts on your coordinatesystem and label them with their coordinates.iv. Use a strictly algebraic technique (nocalculator) to find the zeros of thegiven quadratic function. Show yourwork next to your coordinate system.Be stubborn! Work the problem untilyour algebraic and graphically zerosare a reasonable match.17. f(x) = x 2 + 5x − 1418. f(x) = x 2 + x − 2019. f(x) = −x 2 + 3x + 1820. f(x) = −x 2 + 3x + 4021. f(x) = x 2 − 16x − 3622. f(x) = x 2 + 4x − 961Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/Version: Fall 2007