Solving by factoring using the distributive property x^2 - 5x = 0

The video tutorial covers factoring polynomials and monomials, focusing on breaking them down into prime factors. It explains how to factor using the greatest common factor (GCF) and introduces solving equations by applying the zero product property. The tutorial concludes with a review and addresses any questions.

What is the first step in factoring a polynomial like X^2 - 5X?

• Multiply by a coefficient

• Add a constant term

• Break it down into prime factors

• Combine like terms

When using the distributive property to factor, what is the GCF of the terms in X^2 - 5X?

• X

• 5

• 0

• X^2

After factoring out the GCF, what is the expression for X^2 - 5X?

• X(X + 5)

• X^2 - 5

• X^2 + 5

• X(X - 5)

What does the zero product property state?

• If two numbers multiply to zero, both must be zero

• If two numbers multiply to zero, one or both must be zero

• If two numbers multiply to zero, neither can be zero

• If two numbers multiply to zero, they must be equal

What are the solutions to the equation X(X - 5) = 0?

• X = 0 and X = 5

• X = 0 and X = -5

• X = 5 and X = -5

• X = 0 and X = 10