Find All the Zeros of a Polynomial by Factoring

The video tutorial guides students through the process of factoring a quadratic expression. It begins with replacing F of X with zero and factoring out a greatest common factor (GCF). The teacher explains how to factor the expression into binomials, identify possible factors, and determine the correct signs to achieve the desired middle term. The tutorial concludes with a verification of the factorization and a brief wrap-up.

What is the first step in solving a quadratic equation by factoring?

• Add a constant to both sides

• Multiply all terms by the highest coefficient

• Divide by the smallest coefficient

• Set the equation to zero and factor out the GCF

When factoring a quadratic expression, what should you consider about the numbers that multiply to give the constant term?

• They should be both negative

• They should add up to the middle term

• They should be both positive

• They should multiply to give the constant term

How do you determine the correct arrangement of numbers in the binomials to achieve the desired middle term?

• By ensuring the larger product is negative

• By choosing the smallest numbers

• By trial and error

• By making both products positive

What method is used to verify the correctness of the factored expression?

• The commutative property

• The distributive property

• The FOIL method

• The associative property

After factoring, which property is applied to solve the quadratic equation?

• Zero product property

• Addition property

• Multiplication property

• Division property