Question

Factorize the polynomial x²-9x+20​

Answer 1

Answer:

${x}^{2} - 9x + 20 = \\ \\ = {x}^{2} - 5x - 4x + 20 \\ \\ = x(x - 5) - 4(x - 5) \\ \\ x = 4 \\ x = 5$

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Answer 2

Answer:

(x - 5) (x - 4)

Step-by-step explanation:

By splitting the middle term

         x² - 9x + 20

   = x² - ( 4 + 5 ) x + 20

   = x² - 4x - 5x + 20

   = x ( x - 4 ) - 5 ( x - 4)

  =  (x - 5 ) ( x - 4)