What process do you use to factor polynomials when the leading coefficient is not 1 (example: ax 2 + bx + c )?

• What process do you use to factor polynomials when the leading coefficient is not 1 (example: ax2 + bx + c)? How does this differ from factoring polynomials when the leading coefficient is 1 (example: x2 + bx + c)? Is it possible to solve every quadratic equation by factoring? Why?
• How can you check the answer to a factoring problem such as 10x2 - 13x - 3 = (2x - 3)(5x + 1)?

1)Step 1: Make sure that the trinomial iswritten in the correct order; thetrinomial must be written indescending order from highest powerto lowest power. In this case, theproblem needs to be...