Learning to solve a quadratic by factoring a perfect square trinomial

The video tutorial explains how to solve quadratic equations by setting them to zero and explores both the long method and a simplified approach using perfect squares. It demonstrates factoring and solving the equation, highlighting the importance of identifying perfect squares and factoring out the greatest common factor (GCF).

What is the first step in solving a quadratic equation?

• Multiply the coefficients

• Set the equation equal to zero

• Add the coefficients

• Find the square root of the coefficients

When can the shortcut method for solving quadratics be applied?

• When a and c are perfect squares

• When b is a prime number

• When the equation is linear

• When a and b are equal

How do you verify if the shortcut method can be used?

• Check if b equals two times the product of the square roots of a and c

• Ensure a and b are both even numbers

• Confirm that c is a negative number

• Verify if the equation is in standard form

What is the result of factoring a perfect square trinomial?

• A cubic equation

• A linear equation

• A binomial squared

• A quadratic equation

What should be considered before solving a factored equation?

• Ensuring all terms are positive

• Checking if the equation is linear

• Verifying the equation is in vertex form

• Factoring out the greatest common factor