For what values of m does the graph of y=3x^2+7x+m have two x-intercepts

For all , the graph of given equation have two x-intercepts if the discriminant is positive.

Step-by-step explanation:

A quadratic equation has

1. No x-intercept if .

2.One x-intercept if .

3. Two x-intercept if .

The given equation is

It is a quadratic equation. Here, a=3, b=7 and x=m. The graph of given equation have two x-intercepts if the discriminant is positive.

Put a=3, b=7 and x=m in the above inequality.

Add 12m on both the sides.

Divide both sides by 12.

For all , the graph of given equation have two x-intercepts if the discriminant is positive.

a. -0.3 > -0.33

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )