Factoring
Math ⇒ Algebra
Factoring starts at 7 and continues till grade 12.
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See sample questions for grade 11
Factor completely: 2x³ + 4x² - 6x.
Factor completely: 4x² - 25.
Factor completely: x² - 2x - 15.
Factor completely: x² - 9.
Factor completely: x³ - 27.
Factor completely: x³ - 3x² - 4x + 12.
Factor completely: x⁴ - 1.
Factor completely: x⁴ - 16.
Which of the following is a factor of x³ - 8?
(1) x - 2
(2) x + 2
(3) x - 4
(4) x + 4
Which of the following is a factor of x³ + 8?
(1) x + 2
(2) x - 2
(3) x + 4
(4) x - 4
Which of the following is NOT a method of factoring?
(1) Grouping
(2) Completing the square
(3) Difference of squares
(4) Factoring out the GCF
Which of the following is the correct factorization of 6x² - 13x + 6? (1) (2x - 3)(3x - 2) (2) (2x - 1)(3x - 6)
Fill in the blank: The difference of cubes formula is a³ - b³ = (____)(____).
Fill in the blank: The expression x² - y² factors as (____)(____).
Fill in the blank: The GCF of 14a²b and 21ab² is _______.
Fill in the blank: The greatest common factor (GCF) of 12x³ and 18x² is _______.
True or False: Every quadratic expression can be factored over the real numbers.
True or False: Factoring is the process of writing an expression as a product of its factors.
True or False: Factoring is useful for solving quadratic equations.
True or False: The expression x² - 16y² is a difference of squares.
