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Factor.\newlineh2+12h+20h^2 + 12h + 20

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Q. Factor.\newlineh2+12h+20h^2 + 12h + 20
  1. Identify Coefficients: Identify the coefficients of the quadratic expression. The quadratic expression is h2+12h+20h^2 + 12h + 20. In the standard form of a quadratic expression ax2+bx+cax^2 + bx + c, the coefficient aa is the coefficient of h2h^2, which is 11. The coefficient bb is the coefficient of hh, which is 1212, and the coefficient cc is the constant term, which is 2020.
  2. Find Numbers: Find two numbers that multiply to give c(20)c (20) and add to give b(12)b (12). We need to find two numbers that multiply together to get 2020 and add up to 1212. The numbers 44 and 55 satisfy these conditions because 4×5=204 \times 5 = 20 and 4+5=124 + 5 = 12.
  3. Write Factored Form: Write the factored form using the two numbers found in the previous step.\newlineThe factored form of the quadratic expression will be (h+m)(h+n)(h + m)(h + n), where mm and nn are the numbers found in the previous step. Substituting 44 for mm and 55 for nn, we get the factored form (h+4)(h+5)(h + 4)(h + 5).