Answer:
Option A is the correct answer. ; x=-2/3 and x=3/2
Step-by-step explanation:
We have been given that p(x)=(3x+2)(2x−3) is a polynomial.
According to the question's statement, Question asks us to find the zeros of the polynomial.
Let's head to the question in order to get required answer.
p(x)=(3x+2)(2x−3)
=> p(x) = 3x(2x-3) + 2(2x-3)
=> p(x) = 6x² - 9x + 4x - 6
=> p(x) = 6x² - 5x - 6 (This is the standard form for the given polynomial)
Now, We need to find the zeros of the polynomial. So, In order to find its zeros, we need to put p(x).
p(x) = (3x+2)(2x-3)
=> 0 = (3x+2)(2x-3)
=> (3x+2) = 0 or (2x-3) = 0
=> x= -2/3 or x = 3/2
Hence, If p(x)=(3x+2)(2x−3), x = -2/3 & x= 3/2 are the zeros of the polynomial.
