Question

Write the equation whose roots are 6 and 1, and whose leading coefficient is 4.

Answer 1

4(x-6)(x-1) = 0

Standard form: 4x^2-28x+24=0

Explanation:

First, let's write an equation where the roots are 6 and 1.

To do that, we can use the intercept form a(x-p)(x-q) = 0, where a is the leading coefficient, and p and q are the roots.

We can therefore plug what we know into this equation:

4(x-6)(x-1) = 0