Write a quadratic equation whose roots are 6 and 1, and whose leading coefficient is 1.

Question

Roots are 6 and 1 and leading coefficient is 1.

Answer 1

Hello, Delilah!

I am more than happy to help you with this problem. A quadratic equation is generally expressed as y = ax²+ bx + c. For the roots of a quadratic equation to be 6 and 1, the factor are (x - 6) and (x - 1) , respectively. Therefore, y = (x - 6)(x - 1), which can be expressed as y = x² - 7x + 6. The leading term is x², which has a coefficient of 1. Therefore, the leading coefficient is one.