Question

Consider the function f(x) = 3x2 + 7x + 2. What is the value of the discriminant? –17253173 How many x-intercepts does this function have? 0123 What are the number of zeros for this function? zero real number solutionsone real number solutiontwo real number solutions

Answer 1

Answer:

two real number solutions

Step-by-step explanation:

Given is a quadratic funciton

$f(x) = 3x^2 + 7x + 2$

To find discriminant

$b^2-4ac = 49-4(3)(2) = 25$

Tosolve for x intercepts:

PUt y =0

Then since discriminant is a perfect square, we have two rational roots.

They are

$\frac{-7+/- 5}{6} =\frac{-1}{3} ,-2$

No of zeroes = no of x intercepts =2

Hence answer is

two real number solutions

Answer 2

What is the value of the discriminant?
 For this case, the discriminant will be given by
 b ^ 2 - 4 * a * c
 Where
 b = 7
 a = 3
 c = 2
 substituting
 b ^ 2 - 4 * a * c = (7) ^ 2 - 4 * (3) * (2) = 25
 Therefore the value of the discriminant is 25.
 How many x-intercepts does this function have?
 It has two intercepts with the x axis and can be found by equaling the function to zero. That is to say,
 3x2 + 7x + 2 = 0
 The results will be the interceptions with x.
 What are the number of zeros for this function?
 The number of zeros for this function is
 two real number solutions
 Because it is a quadratic function.