Select all of the potential roots of f(x)= 3x^2-x-4

see explanation

Step-by-step explanation:

given

f(x) =3x² - x - 4

To obtain roots set f(x) = 0, that is

3x² - x - 4 = 0

To factor consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × - 4 = - 12 and sum = - 1

The factors are + 3 and - 4

Use these factors to split the x- term

3x² + 3x - 4x - 4 = 0 ( factor the first/second and third/fourth terms )

3x(x + 1) - 4(x + 1) = 0 ← factor out (x + 1)

(x + 1)(3x - 4) = 0

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

3x - 4 = 0 ⇒ 3x = 4 ⇒ x =

The roots are x = - 1 and x =

By the list provided that would give option 1

The correct answers are A, B, D, E, G, and H.

Step-by-step explanation:

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.