Question

Consider the function f(x) = 3x2 + 7x + 2.




What is the value of the discriminant?_____


How many x-intercepts does this function have?____


What are the number of zeros for this function?_____



will mark as brainiest if answer is correct

Answer 1

Answer:

given: f(x) = 3x^2 + 7x + 2 = 0

= 3x^2 + 6x + x + 2 = 0

= 3x(x + 2 ) +1 ( x + 2 ) = 0

= ( 3x + 1 ) ( x + 2) = 0

therefore x = -1/3 and x = - 2 are the zeros

so number of intercepts are 2 one at -1/3 and one at -2

number of zeros of this function is 2

one is -1/3 and -2

discremenant D = b^2 - 4ac

a = 3, b = 7 and c = 2

therefore D = (7)^2 - 4*3*2

= 49 - 24

= 25

therefore discremenant D = 25