BelleA583261 BelleA583261
  • 03-11-2022
  • Mathematics
contestada

Factor completely. 4x^2+44x+72

Respuesta :

KhaleQ71081 KhaleQ71081
  • 03-11-2022

4(x + 2)(x + 9)

Explanation:

4x² + 44x +72​

a = 4, b = 44, c = 72

a(c) = 4(72) = 288

The factors of 288 whose sum gives 44 are 36 and 8

4x² + 36x + 8x +72​

4x(x + 9) + 8(x + 9)

(4x + 8)(x + 9)

To factorise completely, 4 is common to the first parenthesis:

(4x + 8) = 4(x + 2)

The factorisation of 4x² + 44x +72​:

4(x + 2)(x + 9)

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