Factoring
Math ⇒ Algebra
Factoring starts at 7 and continues till grade 12.
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See sample questions for grade 10
Factor completely: 12x2 - 27.
Factor completely: 2x2 + 8x.
Factor completely: 3x2 - 12x.
Factor completely: 4x2 - 25.
Factor completely: 9x2 - 1.
Factor completely: x2 - 10x + 25.
Factor completely: x2 - 12x + 36.
Factor completely: x2 - 49.
Which of the following expressions is NOT factorable over the integers?
(1) x2 + 2x + 1
(2) x2 + 4x + 5
(3) x2 - 9
(4) x2 - 16
Which of the following is a factor of x2 + 7x + 10?
(1) x + 2
(2) x + 5
(3) x - 2
(4) x - 5
Which of the following is the correct factorization of 6x2 + 11x + 3?
(1) (2x + 3)(3x + 1)
(2) (6x + 1)(x + 3)
(3) (2x + 1)(3x + 3)
(4) (3x + 1)(2x + 3)
Which of the following is the correct factorization of x2 - 25?
(1) (x + 5)(x - 5)
(2) (x + 25)(x - 1)
(3) (x - 25)(x + 1)
(4) (x + 25)(x - 25)
Fill in the blank: Factoring is the process of writing an expression as a _______ of its factors.
Fill in the blank: Factoring is useful for solving quadratic _______.
Fill in the blank: The difference of cubes formula is a3 - b3 = (a - b)(_______).
Fill in the blank: The difference of squares formula is a2 - b2 = _______.
True or False: The expression 2x + 4 can be factored as 2(x + 2).
True or False: The expression x2 - 2x + 1 can be factored as (x - 1)2.
True or False: The expression x2 - 4x + 3 can be factored as (x - 1)(x - 3).
True or False: The expression x2 + 1 can be factored over the real numbers.
