Show that each polynomial function has a real zero as described i...

Question

Show that each polynomial function has a real zero as described in parts (a) and (b). In Exercises 31 and 32, also work part (c). ƒ(x)=4x^3-37x^2+50x+60

between 7 and 8

Accepted Answer

Or the following polynomial function prove that it has a real zero that lies between six and seven where our function is seven X to third minus 1 27 X to second plus 5 36 X minus 74. And we have four possible answers here. Now, it's determine if it has a real zero. We need to see if we plugged in six and seven. Do the signs change for each different input. Let's first plug in six. So we have F of six. That will be seven multiplied by six to the third minus 1 27 multiplied by six squared plus 5, 36 multiplied by six minus 74. If we plug this into a calculator, we get the value 82 we can do the same or seven F of 7 to 7, multiplied by seven to the third minus 1 27 multiplied by seven squared plus 5 36 multiplied by seven minus 74. You plug that into a calculator, you get negative 1 44. I noticed there is indeed a sign change because of a sign change. We do determine that there is a real zero. This means the answer to our problem. S answer D time changes, the graph has crossed the X axis which means there is a zero between those two values. OK. I hope to help you solve the problem. Thank you for watching. Good bye.

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Show that each polynomial function has a real zero as described in parts (a) and (b). In Exercises 31 and 32, also work part (c). ƒ(x)=4x^3-37x^2+50x+60 between 7 and 8