Consider the function f(x) = 3x2 + 7x + 2. what is the value of the discriminant? -17 25 31 73 how many x-intercepts does this function have? 0 1 2 3 what are the number of zeros for this function? zero real number solutions one real number solution two real number solutions

Hello from MrBillDoesMath!

Discriminant = 25

2 x intercepts

two real number solutions   ( -(1/3) and -2)

Discussion:

For a quadratic polynomial ax^2 + bx + c = o the discriminant  is given by

b^2-4ac.  In our case a = 3, b = 7, and c =2, so the discriminant =

7^2 - 4(3)(2) = 49 - 24 = 25

X-intercept is where  3x^2 + 7x + 2 = 0. As the above discriminant is positive, their are 2 solution to the quadratic equation

There are two real number solutions for this function:

x = ( -b +\= sqrt(b^2 - 4ac) /2a)

 =  (- 7 +\- sqrt (7^2 - 4(3)(2) ) /2*3

The two solutions are

 (-7 + sqrt(25))/6  = ( -7 + 5 ) /6 = -2/6 = - (1/3)

 and

 (-7 - sqrt(25))/6  = ( -7 - 5 ) /6 = -12/6 = - 2

Thank you,

MrB

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step-by-step explanation:

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