Solve by factoring when not in quadratic form

The video tutorial explains how to solve for B by factoring a quadratic equation. It begins with isolating variables and transforming the equation into a quadratic polynomial. The instructor demonstrates factoring the quadratic into two binomials and verifies the solution using the FOIL method. The zero product property is introduced to find the solutions for B. The tutorial concludes with the final solutions for B.

What is the first step in solving for a variable by factoring?

• Combine all terms on one side of the equation

• Multiply both sides by zero

• Divide both sides by the variable

• Add a constant to both sides

When factoring a quadratic polynomial, what should the product of the last two numbers equal?

• The sum of the coefficients

• The constant term in the quadratic

• The square of the first term

• The middle term of the polynomial

Which method is used to verify the factorization of a quadratic polynomial?

• Substitution

• FOIL method

• Graphing

• Completing the square

What does the zero product property state?

• If a product is zero, the factors are negative

• If a product is zero, the factors are equal

• If a product is zero, both factors must be non-zero

• If a product is zero, one or both factors must be zero

How do you find the solutions of a factored quadratic equation using the zero product property?

• Divide the factors by zero

• Add the factors and set them equal to zero

• Multiply the factors together

• Set each factor equal to zero and solve