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Write a quadratic function with zeros −8-8 and −7-7.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newlineg(x)=g(x) = ______

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Q. Write a quadratic function with zeros −8-8 and −7-7.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newlineg(x)=g(x) = ______
  1. Identify Zeros: Identify the linear factors from the zeros −8-8 and −7-7. Linear factors are (x+8)(x + 8) and (x+7)(x + 7).
  2. Find Linear Factors: Multiply the linear factors to get the quadratic function. g(x)=(x+8)(x+7)g(x) = (x + 8)(x + 7)
  3. Expand Product: Use the distributive property to expand the product. g(x)=x(x+7)+8(x+7)g(x) = x(x + 7) + 8(x + 7)
  4. Multiply xx: Multiply xx with (x+7)(x + 7).\newlinex(x+7)=x2+7xx(x + 7) = x^2 + 7x
  5. Multiply 88: Multiply 88 with (x+7)(x + 7). \newline8(x+7)=8x+568(x + 7) = 8x + 56
  6. Combine Like Terms: Combine like terms from the previous steps.\newlineg(x) = x2+7x+8x+56x^2 + 7x + 8x + 56\newlineg(x) = x2+15x+56x^2 + 15x + 56

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