Mathematics
Mathematics
Problem
Which of the following binomials is a factor of the quadratic polynomial ? a) b) c) d)Intuitive explanation
The key is to recognize that factoring a quadratic means finding two binomials whose product gives you back the original polynomial. You're looking for two numbers that multiply to give the constant term (6) and add to give the coefficient of (−5). Once you identify those numbers, you can write the quadratic as a product of two linear factors, and any of those factors is a valid answer.
Intuitive explanation
The key is to recognize that factoring a quadratic means finding two binomials whose product gives you back the original polynomial. You're looking for two numbers that multiply to give the constant term (6) and add to give the coefficient of (−5). Once you identify those numbers, you can write the quadratic as a product of two linear factors, and any of those factors is a valid answer.