Question

How do i write a quadratic equation in standard form with the given roots 1,4

Answer 1

I would work backwards from factoring.

Answer 2

Start with x=1 and x=4
x-1=0 and x-4=0
(x-1)(x-4)=0
Then FOIL

Answer 3

so are the 1 and 4 negative or positive?

Answer 4

The roots you gave are positive.

Answer 5

so would it be
\[x ^{2}+4x+1x+4=0 \]

Answer 6

Almost. Check your negatives.

Answer 7

What ones are negatives? I have trouble with understanding these things.

Answer 8

Remember that the roots are the numbers that are equal to x. So a root of 1 is written as x=1. Then set it equal to 0 by subtracting 1 from both sides giving you x-1=0