Factoring
Math ⇒ Algebra
Factoring starts at 7 and continues till grade 12.
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See sample questions for grade 12
Explain the steps involved in factoring a trinomial of the form ax2 + bx + c.
Factor completely: 12x2y - 8xy2.
Factor completely: 2x2 - 8x + 6.
Factor completely: 3x2y - 12xy.
Factor completely: 5x2 - 20.
Factor completely: x3 + 8x2 + 16x.
Factor completely: x4 - 16.
Factor the cubic polynomial: x3 - 8.
Which method is most appropriate for factoring x2 - 25? (1) Grouping (2) Difference of squares (3) Quadratic formula (4) Synthetic division
Which of the following is a factor of x3 - 27? (1) (x - 3) (2) (x + 3) (3) (x - 9) (4) (x + 9)
Which of the following is NOT a factor of x2 - 9x + 20? (1) (x - 4) (2) (x - 5) (3) (x + 4) (4) (x - 2)
Which of the following is the correct factorization of 4x2 - 9? (1) (2x - 3)(2x + 3) (2) (2x - 9)(2x + 1) (3) (4x - 3)(x + 3) (4) (2x - 3)(x + 3)
Fill in the blank: Factoring is the process of writing an expression as a _______ of its factors.
Fill in the blank: The difference of squares formula is a2 - b2 = (a + b)(_______).
Fill in the blank: The expression x2 + bx + c can be factored if there exist two numbers whose product is c and whose _______ is b.
Fill in the blank: The factor theorem states that if f(a) = 0, then (x - ___) is a factor of f(x).
True or False: Every quadratic expression can be factored over the real numbers.
True or False: Factoring is the reverse process of expanding.
True or False: The expression x2 + 1 can be factored over the real numbers.
True or False: The expression x2 + 4x + 4 is a perfect square trinomial.
