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Chapter 2: Problem 62
Find a polynomial function that has the given zeros. (There are many correct answers.) \(-2,-1,0,1,2\)
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Use the given zero to find all the zeros of the function. Function \(h(x)=3 x^{3}-4 x^{2}+8 x+8\) Zero \(1-\sqrt{3} i\)
Determine (if possible) the zeros of the function \(g\) when the function \(f\) has zeros at \(x=r_{1}, x=r_{2},\) and \(x=r_{3}\) $$g(x)=f(2 x)$$
Write the polynomial as the product of linear factors and list all the zeros of the function. $$h(x)=x^{4}+6 x^{3}+10 x^{2}+6 x+9$$
Determine whether the statement is true or false. Justify your answer. $$i^{44}+i^{150}-i^{74}-i^{109}+i^{61}=-1$$
Use the position equation $$s=-16 t^{2}+v_{0} t+s_{0}$$ where \(s\) represents the height of an object (in feet), \(v_{0}\) represents the initial velocity of the object (in feet per second), \(s_{0}\) represents the initial height of the object (in feet), and \(t\) represents the time (in seconds). A projectile is fired straight upward from ground level \(\left(s_{0}=0\right)\) with an initial velocity of 160 feet per second. (a) At what instant will it be back at ground level? (b) When will the height exceed 384 feet?
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