Question

In 30 words or fewer, what do you notice about the first terms of the

factors of 2x^2+ 3x + 1? What about the second terms?

Answer 1

To solve the equation, factor x 2 + 3 x + 2 using formula x 2 + ( a + b) x + a b = ( x + a) ( x + b). To find a and b, set up a system to be solved. Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. The only such pair is the system solution. Since a b is positive, a and b have the same sign.

Explanation: