Solving Quadratics by Factoring (2.4.1)

Question 1

• Quadratic equations have a squared variable, but no higher exponents.

Answer 1

• Quadratic equations have a squared variable, but no higher exponents.

Question 2

• One method for solving a quadratic equation is factoring:
• Group all of the terms together on one side of the equation, so the other side of the equation is equal to 0.
• Factor.
• Set each factor equal to 0 and then solve each equation.

Answer 2

• One method for solving a quadratic equation is factoring:
• Group all of the terms together on one side of the equation, so the other side of the equation is equal to 0.
• Factor.
• Set each factor equal to 0 and then solve each equation.

Question 3

• The solution(s) of a quadratic equation can be checked by substituting each solution back into the original equation.

Answer 3

• The solution(s) of a quadratic equation can be checked by substituting each solution back into the original equation.

Question 4

Quadratic equations introduce the idea that there can be more than one solution to an equation. Using the factoring method to solve a quadratic equation ensures that both solutions will be found.

Answer 4

Quadratic equations introduce the idea that there can be more than one solution to an equation. Using the factoring method to solve a quadratic equation ensures that both solutions will be found.