Respuesta :

mhanifa

Answer:

  • a = 3, b = 2

Step-by-step explanation:

Given

  • P(x) = ax² + bx + 1
  • P(1) = 6 and P(-1) = 2

To find

  • Values of a and b

Solution

Substitute the values of x:

P(1) = 6

  • 6 = a(1)² + b(1) + 1
  • 6 = a + b + 1
  • a + b = 5

P(-1) = 2

  • 2 = a(-1)² + b(-1) + 1
  • 2 = a - b + 1
  • a - b = 1
  • a = b + 1

Substitute a in the previous equation:

  • a + b = 5
  • b + 1 + b = 5
  • 2b = 4
  • b = 2

Then finding a:

  • a = b + 1
  • a = 2 + 1
  • a = 3

So a = 3, b = 2

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