Find all values of b or c that will make the polynomial a perfect...

Question

Find all values of b or c that will make the polynomial a perfect square trinomial. 4z^2+bz+81

Accepted Answer

Solve for the appropriate values of A. That will transform the polynomial 19 squared plus 80 plus 49 into the perfect square. We have 90 squared Plus 80-plus 49. We want to solve for a do this. We're gonna make you so a certain form we'll say X plus or minus Y squared is equal to x squared plus or minus two. Xy plus five square. This is the form of a square discretion where we have X plus Y or x minus y. Now we can go ahead and find what corresponds X squared and y squared. We know x squared corresponds to 90 squared is our first term. One squared corresponds to our last term 49. We can go ahead and solve for X and y now Exploded. Both sides we get X is equal to three T. On the Y. We have y is equal to seven But we notice here plus or -2. Xy Will be equal to our middle term 80. So we'll say what's your -2? Xy is equal to 80. Now we have plus or minus two X. Which is three T Times are Y, which is seven equals 80. Multiply all these numbers we have plus or minus three times two times seven. That is 42 t april's 80. The buyout. The tea's on both sides We get plus or -42 is equal to a. That means the answer to our problem turns out to be answer. D Okay I hope to help you solve the problem. Thank you for watching. Goodbye

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Find all values of b or c that will make the polynomial a perfect square trinomial. 4z^2+bz+81

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