Factoring Special Cases Practice - A

What is a perfect square trinomial?

• A quadratic expression that can be written as the square of a binomial

• A quadratic expression that cannot be factored

• A quadratic expression with no real roots

• A quadratic expression that is always positive

Which of the following is an example of a perfect square trinomial?

• x² + 6x + 9

• x² - 4x + 4

• x² + 8x + 16

• x² - 16

What is the factored form of x² - 16?

• (x + 4)(x - 4)

• (x + 8)(x - 2)

• (x + 2)(x - 8)

• (x + 16)(x - 1)

What pattern does the expression a² - b² represent?

• Difference of squares

• Perfect square trinomial

• Sum of squares

• Quadratic formula

Why is it important to recognize special factoring patterns in algebra?

• They simplify the factoring process

• They make equations more complex

• They eliminate the need for solving equations

• They are only used in advanced mathematics

Factor: x² - 6x + 9

Mathematical Equivalence

ON

Tags

CCSS.HSA.SSE.B.3

Factor: 100x² - 20x + 1

Mathematical Equivalence

ON

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor: x² - 1

Mathematical Equivalence

ON

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor: 64x² - 144

Mathematical Equivalence

ON

Tags

CCSS.HSA.SSE.A.2

Match the following quadratic with its factored form.

• (x + 1)(x - 4)

• x² - 4

• Prime

• x² - 4x + 4

• (x - 2)²

• x² - 3x - 4

• (x + 2)(x - 2)

• x² - 16

• (x + 4)(x - 4)

• x² + 16

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3