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Finding a Polynomial
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- Sketching the Graph of a Polynomial Function In Exercises 71-84, sketch the graph of the function by (a) applying the Leading Coefficient Test, (b) finding the real zeros of the polynomial, (c) plotting sufficient solution points, and (d) drawing a continuous curve through the points. f(x)=3x315x2+18xarrow_forwardFinding Real Zeros of a Polynomial Function In Exercises 33-48, (a) find all real zeros of the polynomial function, (b) determine whether the multiplicity of each zero is even or odd, (c) determine the maximum possible number of turning points of the graph of the function, and (d) use a graphing utility to graph the function and verify your answers. f(t)=2t42t240arrow_forwardFinding a Polynomial Function In Exercises 53-62, find a polynomial function that has the given zeros. (There are many correct answers.) 0,7arrow_forward
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- Finding the Zeros of a Polynomial Function In Exercises 49-58, use the given zero to find all the zeros of the function. FunctionZerofx=x3x2+4x42iarrow_forwardFill in the blanks. When a real zero xa of a polynomial functionfis of even multiplicity, the graph of fthe x-axisatx=a,and when it is of odd multiplicity, the graph of f the x-axisatx=a.arrow_forwardFinding a Polynomial Function with Given Zeros In Exercises 6570, find the polynomial function f with real coefficients that has the given degree, zeros, and function value. DegreeZerosFunctionValue42,1,if(0)=4arrow_forward
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