Solving quadratic equations by factoringthe graph of f(x) = 3x^3 - 5x - 12 is showna. write the equation in intercept form by factoring. b. what are the x-intercepts of the graph? what are the zeros of the function? what are the roots of the function? c. what are the solutions of 3x^2 - 5x - 12 = 0

The required solutions are a. , b. , c. .

Step-by-step explanation:

a.

The given quadratic equation is

The middle term can be written as (-9x+4x)

The intercept form of the given equation by factoring. is,

b.

The x-intercepts,zeros, roots and solutions are same things.

Equate each factor equal to 0.

Therefore x-intercepts,zeros, roots and solutions of the given equation are .

c.

The given equation is

Therefore the solution of the equation are .

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

c > -10.55

step-by-step explanation: