Write down the quadratic equation whose roots are x = -7 and x = 1, and the coefficient of x^2 is 1.

Answer 1

Hi there I'd love to help you out!

Since we know that x = -7 and x = 1 we also know the factors of our quadratic equation:

(x + 7) and (x - 1)

Now, to find the corresponding quadratic equation, we can FOIL or multiply our factors:

(x +7)(x - 1)

x² - 1x + 7x - 7

x² + 6x - 7

And there you have it! I hope this explanation was thorough and helped answer all of your questions. If you have any additional questions please don't hesitate to comment or reach out. Learn on! :)

Answer 2

Hi there I'd love to help you out!

Since we know that x = -7 and x = 1 we also know the factors of our quadratic equation:

(x + 7) and (x - 1)

Now, to find the corresponding quadratic equation, we can FOIL or multiply our factors:

(x +7)(x - 1)

x² - 1x + 7x - 7

x² + 6x - 7

And there you have it! I hope this explanation was thorough and helped answer all of your questions. If you have any additional questions please don't hesitate to comment or reach out. Learn on! :)

Answer 3

Hi there I'd love to help you out!

Since we know that x = -7 and x = 1 we also know the factors of our quadratic equation:

(x + 7) and (x - 1)

Now, to find the corresponding quadratic equation, we can FOIL or multiply our factors:

(x +7)(x - 1)

x² - 1x + 7x - 7

x² + 6x - 7

And there you have it! I hope this explanation was thorough and helped answer all of your questions. If you have any additional questions please don't hesitate to comment or reach out. Learn on! :)