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PSAT/NMSQT
PSAT Math Test - Calculator Section

Finding Roots of a Polynomial Using Rational Roots

Very Hard Passport To Advanced Math Polynomials

Consider the polynomial function defined by:

$$P(x) = 2x^4 - 5x^3 + 6x^2 - 7x + 4$$

Find all values of $x$ such that $P(x) = 0$ using the Rational Root Theorem and synthetic division. Provide your answers in decimal form rounded to two decimal places.

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