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Chapter 2: Problem 93
Briefly explain what it means for a divisor to divide evenly into a dividend.
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Modeling Polynomials Sketch the graph of a polynomial function that is of fifth degree, has a zero of multiplicity \(2,\) and has a negative leading coefficient. Sketch the graph of another polynomial function with the same characteristics except that the leading coefficient is positive.
Proof Prove that the complex conjugate of the sum of two complex numbers \(a_{1}+b_{1} i\) and \(a_{2}+b_{2} i\) is the sum of their complex conjugates.
Compound Interest In Exercises 13 and \(14,\) determine the principal \(P\) that must be invested at rate \(r\) compounded monthly, so that \(\$ 500,000\) will be available for retirement in \(t\) years. $$r=5 \%, t=10$$
Think About It, determine (if possible) the zeros of the function \(g\) when the function \(f\) has zeros at \(x=r_{1}, x=r_{2},\) and \(x=r_{3}\). $$g(x)=f(2 x)$$
True or False? decide whether the statement is true or false. Justify your answer. It is possible for a third-degree polynomial function with integer coefficients to have no real zeros
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