Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

2x2+3x+42x^2 + 3x+4

Full solution

Q. 2x2+3x+42x^2 + 3x+4
  1. Identify coefficients: Identify coefficients aa, bb, and cc from the quadratic expression 2x2+3x+42x^2 + 3x + 4. \newlinea=2a = 2, b=3b = 3, c=4c = 4
  2. Calculate discriminant: Calculate the discriminant to check if factoring is possible.\newlineDiscriminant = b24ac=324×2×4=932=23b^2 - 4ac = 3^2 - 4\times2\times4 = 9 - 32 = -23
  3. No real factors exist: Since the discriminant is negative, the quadratic does not factor over the real numbers. No real factors exist.