Write the quadratic equation whose roots are 2 and 5, and whose leading coefficient is 5.

Question

Write the quadratic equation whose roots are 2 and 5, and whose leading coefficient is 5.

(Use the letter x to represent the variable.)

Answer 1

Not hard. If they give you the roots, use the factored form of a quadratic:

y = a(x-p)(x-q)

where:

1. a = the leading coefficient = 5
2. p = one root = 2
3. q = the other root = 5

Plug the numbers into the factored form of a quadratic. Multiply it out if you want it in standard form.

Answer 2

y=5(x-2)(x-5)

You can do the multiplication if required.