Solving a quadratic by factoring a trinomial when a is equal to one

The video tutorial covers solving quadratic equations by factoring. It begins with an introduction to factoring problems and explains why inverse operations used in linear equations are not applicable here. The instructor introduces the diamond method for factoring and demonstrates how to apply the zero product property to find solutions. The tutorial concludes with verifying the solutions by substituting them back into the equation.

Why can't inverse operations be used to solve the given quadratic equation?

• Because the equation is already solved

• Because the equation is not in standard form

• Because there are two variables that are not like terms

• Because the equation has no constant term

What is the first step in the diamond method for factoring?

• Subtract the coefficients of the middle term

• Multiply the coefficients of the first and last terms

• Divide the equation by the leading coefficient

• Add the coefficients of the terms

What does the zero product property state?

• If a product of factors equals zero, the factors are equal

• If a product of factors equals zero, the equation has no solution

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

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

How can you verify the solutions of a factored quadratic equation?

• By dividing the solutions by the leading coefficient

• By checking if the solutions satisfy the original equation

• By multiplying the solutions together

• By adding the solutions to the constant term

What is the purpose of factoring in solving quadratic equations?

• To change the equation into a linear form

• To simplify the equation

• To find the solutions that make the equation true

• To eliminate the constant term