Exploring Perfect Square Quadratic Equations

What is the standard form of a single-variable quadratic equation?

• ax^2 + bx + c = 0

• ax^2 + c = 0

• ax + b = 0

• ax^2 + bx = 0

What are the solutions to a quadratic equation called?

• Coefficients

• Zeros or roots

• Intercepts

• Vertices

What principle is used to solve quadratic equations by factoring them into linear functions?

• Distributive property

• Associative property

• Commutative property

• Zero product property

Which of the following is a form of a perfect square quadratic expression?

• a^2 - ab + b^2

• a^2 + 2ab + b^2

• a^2 - 2ab + b

• a^2 + ab + b^2

How can you identify a perfect square quadratic expression?

• By checking if it fits the form a^2 + 2ab + b^2 or a^2 - 2ab + b^2

• By checking if it has three terms

• By checking if it has a constant term

• By checking if it has a linear term

What is the factored form of the quadratic expression x^2 + 6x + 9?

• (x + 3)(x + 3)

• (x + 6)(x + 1)

• (x + 3)(x - 3)

• (x - 3)(x - 3)

What is the single root of the quadratic equation x^2 + 6x + 9 = 0?

• 3

• -3

• -6

• 6

What is the factored form of the quadratic expression 16x^2 - 40x + 25?

• (4x + 5)(4x - 5)

• (4x + 5)(4x + 5)

• (4x - 5)(4x + 5)

• (4x - 5)(4x - 5)

What is the single root of the quadratic equation 16x^2 - 40x + 25 = 0?

• -5/4

• -4/5

• 5/4

• 4/5

What method will be discussed in the next lecture for factoring quadratic expressions?

• Factoring by inspection

• Factoring by grouping

• Factoring by substitution

• Factoring by elimination