Pre-Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice). Mary Jane Sterling
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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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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.
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Possible zeros: –3, 3, –6, 6, 1
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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
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Writing Polynomial Expressions When Given Roots and a Point
306–310 Find the lowest-order polynomial that has the listed values as its zeros and whose graph passes through the given point.
306. Zeros: –3, 1, 2
Point:
307. Zeros: –4, –2, 3
Point:
308. Zeros: –3, –2, 1, 2
Point:
309. Zeros:
Point:
310. Zeros: 2 + i, 2 – i, –3, 2
Point:
Graphing Polynomials
311–316 Graph the polynomial by determining the end behavior, finding the x- and y-intercepts, and using test points between the x-intercepts.
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Writing Equations from Graphs of Polynomials
317−320 Write an equation for the given polynomial graph.
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Illustration