Step-by-step explanation:

When given the roots of a quadratic equation, use the form

where r and s are the roots.

Let r = -11 and s = 3 (it will still be the same if r = 3 and s = -11).

Then, use the FOIL method in order to multiply the two binomials.

Lastly, combine like terms.

Therefore, the equation with the roots x = -11 and x = 3 is x² + 8x - 33 = 0, which is Option A.

Answer:

A. x²+8x-33=0

Step-by-step explanation:

x²+8x-33=0

(x+11)(x-3)=0

x+11=0

x-3=0

x=-11

x=3