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Solve: h(x)=−5(x+1)(x−9)h(x)=-5(x+1)(x-9)

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Q. Solve: h(x)=−5(x+1)(x−9)h(x)=-5(x+1)(x-9)
  1. Set Function Equal to Zero: Set the function equal to zero to find its zeros.\newlineh(x)=−5(x+1)(x−9)=0h(x) = -5(x + 1)(x - 9) = 0
  2. Divide by −5-5: Divide both sides of the equation by −5-5, which does not affect the zeros.\newline(x+1)(x−9)=0(x + 1)(x - 9) = 0
  3. Apply Zero Product Property: Apply the zero product property, which states that if a product of factors equals zero, then at least one of the factors must be zero.\newlinex+1=0x + 1 = 0 or x−9=0x - 9 = 0
  4. Solve for x: Solve the first equation for x.\newlinex+1=0x + 1 = 0\newlinex=−1x = -1
  5. Solve for x: Solve the second equation for x.\newlinex−9=0x - 9 = 0\newlinex=9x = 9

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