Chapter 5: Exercises with Solutions

Section 5.3Zeros of the QuadraticBy the zero product property, either2x − 11 = 0 or x + 3 = 0.Solve these linear equations independently.x = 11/2 or x = −351. To find the zeroes with your calculator, press 2nd TRACE to access the CALCmenu and choose 2:zero.Use the left arrowto move the cursoralong the curve untilit is to the left of thefirst zero. Hit ENTER.Use the right arrow tomove the cursor until itis to the right of thesame zero. Hit ENTER.Finally hit ENTERnear that same zerofor the guess, andyou get the zero.Repeat this process for the second zero. We get (−.5, 0) and (6.5, 0).100yf(x)=4x 2 −24x−13−10 10x(−0.5,0) (6.5,0)−100To find the zeroes, set y = 0 and solve for x:0 = 4x 2 − 24x − 130 = (2x + 1)(2x − 13)By the zero product property, either2x + 1 = 0 or 2x − 13 = 0.Version: Fall 2007