Algebra-2

Question Analysis
This question tests the student's ability to factor a quadratic expression and find its roots. The quadratic expression given is . The goal is to factor this expression into two binomials and then solve for the values of that make each binomial equal to zero.

Key Concept Explanation
Factoring a quadratic expression involves finding two numbers that multiply to the constant term (35) and add up to the coefficient of the linear term (-12). These numbers are -7 and -5, which can be used to factor the quadratic expression.

Step-by-step Solution
1. Identify the factors of 35 that add up to -12: -7 and -5.
2. Rewrite the quadratic expression as: