determine the number and type of zeros of the quadratic function based on the value of the discriminant? discriminant=0, discriminant=-36, discriminant=3, discriminant=2, discriminant=100, discriminant=-4

Answer with Step-by-step explanation:

We know that

Number of zeroes of a quadratic function are 2.

When discriminant D

D=0

Roots are equal and real

D>0

Roots are real and different

D<0

Roots are not exist.

a. D=0

Number of zeroes=2

Zeroes are equal and real.

b. D=-36

Zeroes of quadratic function does not exist.

c. D=3

Number of zeroes=2

zeroes are real and different

d. D=2

Number of zeroes=2

zeroes are real and different

e. D=100

Number of zeroes=2

zeroes are real and different

D=-4

Zeroes of quadratic function does not exist.