266–270 Solve the equation by completing the square.
266.
267.
268.
269.
270.
Solving Polynomial Equations for Intercepts
271–276 Find the real roots
271.
272.
273.
274.
275.
276.
Using Factoring by Grouping to Solve Polynomial Equations
277–280 Find the real roots
277.
278.
279.
280.
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.
281.
282.
283.
284.
285.
Listing Possible Roots of a Polynomial Equation
286–290 Use the rational root theorem to list the possible rational roots of the function.
286.
287.
288.
289.
290.
Dividing Polynomials
291–295 Perform the division by using long division. Write the remainder as a fraction.
291.
292.
293.
294.
295.
Using Synthetic Division to Divide Polynomials
296–298 Use synthetic division to find the quotient and remainder.
296.
297.
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.
304.
305.