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Factor. x^(2)-11 x+28 Answer:

Factor.\newlinex2−11x+28 x^{2}-11 x+28 \newlineAnswer:

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Full solution

Q. Factor.\newlinex2−11x+28 x^{2}-11 x+28 \newlineAnswer:
  1. Identify Factors: To factor the quadratic expression x2−11x+28x^2 - 11x + 28, we need to find two numbers that multiply to give the constant term (28)(28) and add up to give the coefficient of the linear term (−11)(-11).
  2. List Factor Pairs: We list the pairs of factors of 2828: (1,28)(1, 28), (2,14)(2, 14), (4,7)(4, 7). We need to find a pair that adds up to −11-11.
  3. Find Correct Pair: The pair of factors of 2828 that adds up to −11-11 is (4,7)(4, 7), but since we need a sum of −11-11, we need both numbers to be negative: (−4,−7)(-4, -7).
  4. Write as Binomials: We can now write the quadratic expression as a product of two binomials using the factors we found: x2−11x+28=(x−4)(x−7)x^2 - 11x + 28 = (x - 4)(x - 7).

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