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PRETTY please help





Which binomial is a factor of4x2+x−14?

Question 7 options:

x−1

x+1

4x−7

4x+7

Sagot :

Mhanifaidn

Answer:

  • C. 4x − 7

Step-by-step explanation:

Given polynomial:

  • 4x² + x - 14

Find its roots:

  • x = (- 1 ± √(1 - 4*4*(-14)) / 8
  • x = (- 1 ± √225) / 8
  • x = ( -1 ± 15) / 8
  • x₁ = (- 1 + 15)/ 8 = 14/8 = 7 / 4
  • x₂ = (- 1 - 15) / 8 = - 16/2 = - 8

The factors:

  • (x - x₁)(x - x₂) =
  • (x - 7/4)(x + 8) =
  • 1/4(4x - 7)(x + 8)

Option C is the correct one

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