1.enter a quadratic polynomial which has zeros at 11 and 3
2.enter a quadratic polynomial which has zeros at -2 and 6
3.enter a quadratic polynomial which has a double root at -6

1) y = (x-11)(x-3)

2) y = (x+2)(x-6)

3) y = (x+6)^2 = (x+6)(x+6)

An equation with zeroes at r1 and r2 factors to (x-r1)(x-r2)
double root at r1 just means (x-r1)^2

1. f(x)=(x-11)(x-3)
2. f(x)=(x-(-2))(x-6) or f(x)=(x+2)(x-6)
3. f(x)=(x-(-6))^2 or f(x)=(x+6)^2

if yo wanted expanded form

1. f(x)=x²-14x+33
2. f(x)=x²-4x-12
3. f(x)=x²+12x+36