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Factor,

z^(2)-13 z+22

Factor,\newlinez213z+22 z^{2}-13 z+22

Full solution

Q. Factor,\newlinez213z+22 z^{2}-13 z+22
  1. Identify Coefficients: Step Title: Identify the Coefficients\newlineConcise Step Description: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are 11, 13-13, and 2222.\newlineStep Calculation: Coefficients are 11, 13-13, 2222\newlineStep Output: Coefficients: 11, 13-13, 2222
  2. Find Factors: Step Title: Find the Factors\newlineConcise Step Description: Find two numbers that multiply to 2222 (the last term) and add to 13-13 (the coefficient of the middle term).\newlineStep Calculation: Factors of 2222 that add up to 13-13 are 2-2 and 11-11.\newlineStep Output: Factors: 2-2, 11-11
  3. Write Factored Form: Step Title: Write the Factored Form\newlineConcise Step Description: Write the factored form of the quadratic equation using the factors found in the previous step.\newlineStep Calculation: The factored form is (z2)(z11)(z - 2)(z - 11).\newlineStep Output: Factored Form: (z2)(z11)(z - 2)(z - 11)