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PSAT/NMSQT
PSAT Math Test - Calculator Section

Finding a Root of a Cubic Polynomial

Medium Passport To Advanced Math Non-linear Expressions

Maria is studying the behavior of the function defined by the equation:

$$y = 2x^3 - 3x^2 + 4x - 5$$

To analyze this function's roots, she wants to find the value of $x$ that makes $y = 0$. Maria employs numerical methods to locate the approximate roots of the polynomial function. Use a graphing calculator or numerical methods, if needed, to find one root of the equation. Round your answer to two decimal places and enter it as a decimal for your final answer.

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