Step 1 The zeros of the function are the values of x such that f(x) = 0. Set the function equal to zero. 0- 36 - x2 Solve for x. First, factor the expression. (6-x)(6+x) (9+ x)(x - 9) Step 2 What are the solutions, or zeros, of the polynomial function? (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) -6,6 -6, 6 Exercise (b) Determine the multiplicity of each zero. Step 1 A factored polynomial function has factors of the form (x - a)k where a is a zero of the function. The value of k determines the multiplicity of the zero. What is the multiplicity of each zero of the function f(x) = 36 - x27 smaller x-value odd multiplicity larger x-value even multiplicity

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.