Algebra I: 1001 Practice Problems For Dummies (+ Free Online Practice). Mary Jane Sterling

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СКАЧАТЬ sure to list all the possible divisors of a number, not missing multiples

       Remembering to change the sign of the numerical part of the divisor when using synthetic division

       Taking roots with multiplicity of more than one into account when looking for factors

Applying Descartes’s Rule of Signs to Count Real Roots

      656–659 Count the possible number of positive and negative real roots of the equation.

      656.

      657.

      658.

      659.

Applying the Rational Root Theorem to List Roots

      660–663 List all the possible rational roots for each polynomial equation.

      660.

      661.

      662.

      663.

Determining Whether Numbers Are Roots

      664–667 Check to see which of the given values are roots of the equation.

      664. Given , check to see whether 2, –2, 3, or 4 is a root.

      665. Given , check to see whether 1, –1, 3, or –3 is a root.

      666. Given , determine whether 1, –1, 2, or –2 is a root.

      667. Given , determine whether 1 or –1 are roots.

Solving for the Roots of Polynomials

      668–685 Solve for all real roots.

      668.

      669.

      670.

      671.

      672.

      673.

      674.

      675.

      676.

677.

      678.

      679.

      680.

      681.

      682.

      683.

      684.

685.

Chapter 16

      Reining in Radical and Absolute Value Equations

      Aradical equation contains at least one term that’s a square root, cube root, or some other root. When solving radical equations, you apply a method that’s effective but comes with a built-in error possibility; you may find (and need to recognize) extraneous solutions. You need to rewrite absolute value equations to solve them. The solutions of the rewrites are then the solutions of the original equation.

The Problems You’ll Work On

      Here’s just a sampling of the radical things you work on in this chapter:

       Rewriting equations with only two terms and squaring both sides to solve

       Squaring both sides of an equation when starting with three terms

       Dealing with more than one radical term

       Catching extraneous solutions

       Graphing absolute value statements for clarity

       Solving absolute value equations after writing corresponding equations

       Checking for nonsense answers

What to Watch Out For

      Here are a few things that may rock your boat, so be on the lookout:

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