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Find the zeros of the function. Enter the solutions from least to greatest. {:[h(x)=(-4x-5)(-x+5)],[" lesser "x=◻],[" greater "x=◻]:}

Find the zeros of the function. Enter the solutions from least to greatest.\newlineh(x)=(−4x−5)(−x+5) h(x) = (-4x - 5)(-x + 5) , lesser x=□ \text{lesser } x = \square , greater x=□ \text{greater } x = \square

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Q. Find the zeros of the function. Enter the solutions from least to greatest.\newlineh(x)=(−4x−5)(−x+5) h(x) = (-4x - 5)(-x + 5) , lesser x=□ \text{lesser } x = \square , greater x=□ \text{greater } x = \square
  1. Factored function: Factored function: h(x)=(−4x−5)(−x+5)h(x) = (-4x - 5)(-x + 5)\newlineTo find the zeros of the function, we need to set h(x)h(x) equal to zero and solve for xx.\newline0=(−4x−5)(−x+5)0 = (-4x - 5)(-x + 5)
  2. First zero: First zero: Solve −4x−5=0-4x - 5 = 0
    Add 55 to both sides of the equation:
    −4x−5+5=0+5-4x - 5 + 5 = 0 + 5
    −4x=5-4x = 5
    Now, divide both sides by −4-4:
    x=5−4x = \frac{5}{-4}
    x=−54x = -\frac{5}{4} or x=−1.25x = -1.25
  3. Second zero: Second zero: Solve −x+5=0-x + 5 = 0
    Subtract 55 from both sides of the equation:
    −x+5−5=0−5-x + 5 - 5 = 0 - 5
    −x=−5-x = -5
    Now, multiply both sides by −1-1:
    x=5x = 5
  4. Zeros of the function: We have found the two zeros of the function h(x)h(x):x=−1.25x = -1.25 and x=5x = 5List them in ascending order:x=−1.25,5x = -1.25, 5

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