Write the quadratic equation whose roots are 1 and -6, and whose leading coefficient is 5. (Use the letter x to represent the variable.)

Step-by-step explanation:

Quadratic Equation

If the roots of a quadratic equation are known, we can form the equation as follows:

where x1 and x2 are the known roots, and a is the leading coefficient.

We are given the roots as x1=1 and x2=-6, and the leading coefficient as a=5, thus:

Operating:

Simplifying:

Multiplying:

3 is greater then both of those numbers