How do you find the zeros of x^2(2x-3)?

Answer 1

The "zeros" of a function are when the function value (usually f(x) or y) is equal to zero. That's the same thing as saying, "where does the function cross the x-axis?". So, to find the zeros, set x²(2x - 3) equal to zero.

x²(2x - 3) = 0

a•b = 0 if either a is zero or if b is zero. There is no way to multiply two numbers (or expressions) together to get zero as an answer unless one of them is zero.

So, we set "x²" equal to zero and we set "2x - 3" equal to zero.

x² = 0 when x = 0

2x - 3 = 0 when x = 3/2

Answer 2

just set each term equal to zero and solve

x^2 = 0

2x-3 = 0

I will leave it to you to solve these equations