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. 49x^2+70x+c

Accepted Answer

Solve for the appropriate values of A. That will transform the polynomial. 4 41 P squared Plus 84 p Plus eight into the Perfect Square. So you want to use the form X plus y squared equals x squared plus two. Xy plus y squared. Our try no meal is in this form. This is equivalent to X plus y squared. Let's forget what our X squared is. X squared will be the first term Which is 4 41 p square. Ry square will be the last term. That is just a. For now. Now you want to stall for a to find that I'm going to solve for X and Y first squared X squared. You get x equals 4 41 p square. That is 21 p. The bottom square root Y squared Y equals the square of a. Now we know two X. Y is equal to R 84 P. Let's say two xy Equals R 84 P. We're gonna use this to solve for a. We have to our X. Which is 21 p. Times are away which is a square Equals p. We get 42 P squared equals 84 P. Now we'll divide both sides by 42 P. We get the screwed up A equals two. You square both sides. We get a equals four. That means the answer to our problem turns out to be answer. B. Okay I hope to help you solve the problem. Thank you for watching. Good back

Struggling with College Algebra?

Find all values of b or c that will make the polynomial a perfect square trinomial. 49x^2+70x+c

Watch next

Factoring Polynomials practice set