159k views
0 votes
Find the x-intercept(s) of the equation: y =3x^2-3x-6

a. x-intercepts: (-1,0) and (2,0)

b. x-intercepts:(0,-3) and (0,2)

c. x-intercept: (-6,0)

d. x-intercept: (0,-6)

User Kaushalya
by
8.5k points

2 Answers

6 votes

Answer:


\large \boxed{\mathrm{a. \ x-intercepts: (-1,0) \ and \ (2,0)}}

Explanation:

The x-intercept(s) is when y = 0.

3x² - 3x - 6 = 0

Factor left side of the equation.

3(x + 1)(x - 2) = 0

Set factors equal to 0.

x + 1 = 0

x = -1

x - 2 = 0

x = 2

The x-intercepts are (-1, 0) and (2, 0).

User Jscarle
by
8.1k points
4 votes

Answer:

(2,0) ( -1,0)

Explanation:

y =3x^2-3x-6

Let y = 0 and solve for x to find the x intercepts

0 =3x^2-3x-6

Factor out a 3

0 =3(x^2-x-2)

Factor inside the parentheses

0 = 3( x-2) (x+1)

Using the zero product property

x-2 =0 x+1 = 0

x=2 x = -1

(2,0) ( -1,0)

User Ana Borges
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories