Factoring Quadratics

Factoring quadratics involves expressing a quadratic expression in the form $ax^{2} + bx + c$ as a product of two binomials. The goal is to find two numbers that multiply to $ac$ and add to $b$.

Example

Let's factor the quadratic expression $2x^{2} + 7x + 3$.

1. Identify $a$, $b$, and $c$:
   Here, $a = 2$, $b = 7$, and $$.

Thus, the factored form of $2x^{2} + 7x + 3$ is $(2x + 1)(x + 3)$.

Key Questions

• What are the steps to factor $x^{2} + 5x + 6$?
• How do you identify $a$, $b$, and $c$ in a quadratic expression?

Keywords

• Quadratic
• Factor
• Binomial
• Roots
• Polynomial