Write a quadratic equation in standard form with roots - 2 and - 5

To solve this problem. First lets work our way backwards and try to figure out the binomials that will result in these roots.

-2 root = X int = - 2

Thus it would be (X + 2) because if you solve for x the solution or X intercept is - 2.

Same thing for - 5.

(X+5).

Next place them together and multiply or foil to obtain the quadratic.

Y = (X+5) (X+2)

Y = X^2 + 7x + 10

Standard form = Ax^2 + / - Bx + / - C = 0.

The standard form is X^2 + 7x + 10.