Kshamta Kshamta
  • 13-03-2022
  • Mathematics
contestada

(2x + 3)(x – 5) + 7 = ax² + bx + c What is the value of a, b, and c?

Respuesta :

jimrgrant1 jimrgrant1
  • 13-03-2022

Answer:

a = 2 , b = - 7 , c = - 8

Step-by-step explanation:

expand and simplify the left side then compare the coefficients of like terms on both sides.

(2x + 3)(x - 5) + 7 ← expand factors using FOIL

= 2x² - 10x + 3x - 15 + 7 ← collect like terms

= 2x² - 7x - 8

compare to ax² + bx + c , then

a = 2, b = - 7 , c = - 8

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