Factoring Completely

Comletely factorize the expression

12x - 9.

• 4(3x + 3)

• 3(4x + 3)

• 4(x - 3)

• 3(4x - 3)

Completely factor the expression

8ax + 12a - 4az.

• 4(2ax +3a - az)

• 2a(4x + 6 - 2z)

• 4a(2x + 3 - z)

• x(8a + 12a - 4az)

Which of the following option/s are techniques in factoring polynomials? Check all that applies.

• Factoring Perfect Square Trinomial

• Factoring by Grouping

• Common Monomial Factoring

• Factoring Differences of Two Squares

Factor the perfect square trinomial

x² - 18x + 81

• (x - 9)(x + 9)

• (x - 3)(x + 9)

• (x + 9)(x + 9)

• (x - 9)(x - 9)

Completely factorize the perfect square trinomial (9x² + 24x +16).

• (3x + 4)²

• (3x - 4)(3x + 4)

• (3x + 4)(3x - 4)

• (3x - 4)²

Completely factor the polynomial expression 4x² - 25y².

• (5x - 2y)(5x + 2y)

• (2x - 5y)(2x + 5y)

• (xy - 5)(xy + 2)

• (xy + 5)(xy -2)

What are the factors of the expression x² + 7x + 10?

• (x - 2)(x + 5)

• (x + 2)(x - 5)

• (x - 2)(x - 5)

• (x + 2)(x + 5)

• x⁴(x² - 5x - 24)
• (x - 8)(x + 3)
• x⁴(x - 8)(x + 3)
• (x³ - 8)(x³ +3)

• 5x⁵(x + 4)(x - 4)
• (x + 4)(x - 4)
• 5x⁵ (x² - 16)
• (5x⁵ +16)²

• Not Factorable
• x²(6x²+51x+63)
• 3x²(2x+7)(x+3)
• 3x²(2x+3)(x+7)