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Chapter 2: Problem 34
Perform the operation and write the result in standard form. $$(7-2 i)(3-5 i)$$
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A rectangular playing field with a perimeter of 100 meters is to have an area of at least 500 square meters. Within what bounds must the length of the rectangle lie?
Use synthetic division to verify the upper and lower bounds of the real zeros of \(f\) \(f(x)=x^{3}+3 x^{2}-2 x+1\) (a) Upper: \(x=1\) (b) Lower: \(x=-4\)
Write the polynomial as the product of linear factors and list all the zeros of the function. $$h(x)=x^{3}+9 x^{2}+27 x+35$$
Write the polynomial as the product of linear factors and list all the zeros of the function. $$f(x)=x^{4}-16$$
Write the polynomial as the product of linear factors and list all the zeros of the function. $$f(z)=z^{2}-2 z+2$$
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