Answered

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)

Verified Answer :

wolf1728

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

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.

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