Question

Write and solve a quadratic equation with the following roots: x= 2 and x= 4

Answer 1

When you use the quadratic formula, you’re making the function equal to 0. So we know that the zeros happen when x equals 2 and 4. So let’s try to think of a trinomial that factors to (x - 2)(x - 4). You could do FOIL to get x^2 - 6x + 8.

Now if you want to show your work, plug everything into the quadratic formula. Due to limitations on a phone, ill just write it out.

-b plus and minus the square root of b squared minus 4 times a times c, alllll over 2 times a