Question

Find the x-intercepts for the parabola defined by the equation below

y = 3x2 + 18x + 15

A (-1,0) & (-5,0)
B (5,0) & (6,0)
C (0,-1 & (0,-5)
D (0,5) & (0,6)

Answer 1

The x-intercepts are the location of the equation's roots
X1 = -1 and X2 = -5
Answer is A

Answer 2

Answer: The correct option is (A) (-1,0) & (-5,0).

Step-by-step explanation: We are given to find the x-intercepts for the parabola defined by the following equation :

`y=3x^2+18x+15~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We know that

the x-intercepts of a function are the points where the y co-ordinate is zero.

So, from equation (i), we have

`y=0\\\\\Rightarrow 3x^2+18x+15=0\\\\\Rightarrow x^2+6x+5=0\\\\\Rightarrow x^2+5x+1x+5=0\\\\\Rightarrow x(x+5)+1(x+5)=0\\\\\Rightarrow (x+1)(x+5)=0\\\\\Rightarrow x+1=0,~~~x+5=0\\\\\Rightarrow x=-1,~-5.`

Therefore, the x-intercepts of the given function are (-1, 0) and (-5, 0).

Option (A) is CORRECT.