maya is solving the quadratic equation by completing the square. 4x² + 16x + 3 = 0 what should maya do…

maya is solving the quadratic equation by completing the square. 4x² + 16x + 3 = 0 what should maya do first? isolate the variable x². subtract 16x from both sides of the equation. isolate the constant. factor 4 out of the variable terms.

maya is solving the quadratic equation by completing the square. 4x² + 16x + 3 = 0 what should maya do first? isolate the variable x². subtract 16x from both sides of the equation. isolate the constant. factor 4 out of the variable terms.

Answer

Explanation:

Step1: Recall completing - the - square steps

When completing the square for a quadratic equation of the form (ax^{2}+bx + c=0) ((a\neq0)), the first step is to make the coefficient of (x^{2}) equal to 1. For the equation (4x^{2}+16x + 3=0), we can factor out the greatest - common factor of the (x) - terms.

Step2: Analyze each option

  • Isolating the variable (x^{2}) is not the first step.
  • Subtracting (16x) from both sides does not help in the process of completing the square.
  • Isolating the constant is a later step in completing the square.
  • Factoring 4 out of the variable terms (4x^{2}+16x) gives (4(x^{2}+4x)+3 = 0), which is the first step towards making the coefficient of (x^{2}) equal to 1 in the sub - expression (x^{2}+4x).

Answer:

Factor 4 out of the variable terms.