Explain why we know that 3x^2+4x−2 is not factorable. but make it look like a 10th grader did it

1 answer

We know that 3x^2+4x−2 is not factorable because it does not have two binomial factors that can be multiplied together to give us this equation. If it were factorable, we could write it as (ax+b)(cx+d) and get back to the original equation when we multiply it out. But when we try to find these binomial factors for 3x^2+4x−2, we see that it's not possible because there is no combination of numbers that can give us the coefficients of x^2, x, and the constant term −2. Therefore, we can conclude that 3x^2+4x−2 is not factorable.