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Find the zeros of the function. Enter the solutions from least to greatest. h(x)=(-4x-3)(x-3) lesser x= greater x=

Find the zeros of the function. Enter the solutions from least to greatest.\newlineh(x)=(−4x−3)(x−3) h(x)=(-4 x-3)(x-3) \newlinelesser x= x= \newlinegreater x= x=

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Q. Find the zeros of the function. Enter the solutions from least to greatest.\newlineh(x)=(−4x−3)(x−3) h(x)=(-4 x-3)(x-3) \newlinelesser x= x= \newlinegreater x= x=
  1. Set Function Equal to Zero: To find the zeros of the function h(x)h(x), we need to set the function equal to zero and solve for xx. The function is already factored, which makes this process straightforward.\newlineh(x)=0h(x) = 0 when (−4x−3)(x−3)=0(-4x - 3)(x - 3) = 0.\newlineWe can find the zeros by setting each factor equal to zero and solving for xx.
  2. Find First Zero: First, let's find the zero by setting the first factor equal to zero:\newline−4x−3=0-4x - 3 = 0.\newlineTo solve for xx, we add 33 to both sides of the equation:\newline−4x=3-4x = 3.\newlineThen, we divide both sides by −4-4 to isolate xx:\newlinex=3−4x = \frac{3}{-4}.\newlinex=−34x = -\frac{3}{4}.\newlineThis is the first zero of the function.
  3. Find Second Zero: Next, we find the zero by setting the second factor equal to zero:\newlinex−3=0x - 3 = 0.\newlineTo solve for xx, we add 33 to both sides of the equation:\newlinex=3x = 3.\newlineThis is the second zero of the function.

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