Pre-Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice). Mary Jane Sterling

Quadratic Equations

       266–270 Solve the equation by completing the square.

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Solving Polynomial Equations for Intercepts

      271–276 Find the real roots of the polynomial.

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Using Factoring by Grouping to Solve Polynomial Equations

      277–280 Find the real roots of the polynomial by using factoring by grouping.

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Applying Descartes’s Rule of Signs

       281–285 Use Descartes’s rule of signs to determine the possible number of positive and negative real roots of the function.

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285.

Listing Possible Roots of a Polynomial Equation

       286–290 Use the rational root theorem to list the possible rational roots of the function.

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Dividing Polynomials

       291–295 Perform the division by using long division. Write the remainder as a fraction.

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Using Synthetic Division to Divide Polynomials

       296–298 Use synthetic division to find the quotient and remainder.

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298.

Checking for Roots of a Polynomial by Using Synthetic Division

       299–300 Use synthetic division to determine which of the given values is a zero of the function.

      299.

      Possible zeros: –3, 3, –6, 6, 1

      300.

      Possible zeros: –8, –2, –1, 4, 8

Writing Polynomial Expressions from Given Roots

       301–305 Find the lowest order polynomial with 1 as the leading coefficient with the listed values as its zeros.

      301. –3, 2, 3

      302. –4, –3, 0, 1, 2

      303. , , –1, 2

      304. , , –1, and –4

      305.