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User JAHelia
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1 Answer

2 votes

Answer:

B. The zeros are -2/3 and -3 because y=(3x+2)(x+3)

Step-by-step explanation:

Given the equation:


y=3x^2+11x+6

To find the zeros, first, factorize the expression:


\begin{gathered} y=3x^2+9x+2x+6 \\ y=3x(x+3)+2(x+3) \\ y=(3x+2)(x+3) \end{gathered}

Next, set the factored expression equal to 0.


\begin{gathered} y=(3x+2)(x+3)=0 \\ \implies3x+2=0\text{ or }x+3=0 \\ 3x=-2\text{ or }x=-3 \\ x=-(2)/(3)\text{ or }x=-3 \end{gathered}

Thus, the zeros are -2/3 and -3 because y=(3x+2)(x+3).

The correct choice is B.

User SeyT
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