Joana solved the equation 4x ^ 2 - 4x - 3 = 0 She followed the steps to solve a quadratic equation by grouping. However, in Step 3 she noticed that the two groupings did not share a common binomial, as shown in her work below. She concluded that the quadratic equation 4x ^ 2 - 4x - 3 = 0 has no solutionsIs Joana's conclusion correct ? Review Joana's work to answer the question Step 1: 4x ^ 2 + 2x + (- 6x) - 3 = 0 Step 2: (4x ^ 2 + 2x) + (- 6x - 3) = 0 Step 3: x(4x + 2) + (- 3(2x + 1)) = 0 ( 1 point) Yes, because the two groupings do not share a common binomial Yes, because there are no factors of -12 that add up to -4 No, because she can still continue the steps even if the two groupings have no shared binomial No, because she did not factor out the GCF from the first grouping

Answer 1

Joana's conclusion is incorrect. The presence of a common binomial is not necessary for solving a quadratic equation by grouping. She can still continue with the steps even if the two groupings do not share a common binomial. The correct answer would be: No, because she can still continue the steps even if the two groupings have no shared binomial.