Factoring
Math ⇒ Algebra
Factoring starts at 7 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Factoring.
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See sample questions for grade 9
Explain the process of factoring a quadratic trinomial of the form x² + bx + c.
Factor completely: 2x² + 8x.
Factor completely: 3x² - 12x.
Factor completely: 4x² + 12x + 9.
Factor completely: 5x² - 20.
Factor completely: 6x² - 15x.
Factor completely: x² - 36.
Given the context: A rectangular garden has an area represented by the expression x2 + 7x + 12 square meters. What are the possible integer dimensions of the garden?
Which of the following is a factor of x² - 16?
(1) x + 4
(2) x + 8
(3) x - 8
(4) x + 2
Which of the following is a factor of x² - 25?
(1) x + 5
(2) x + 10
(3) x - 10
(4) x + 2
Which of the following is NOT a factor of x² - 4x?
(1) x
(2) x - 4
(3) x + 4
(4) x(x - 4)
Which of the following is the correct factorization of 2x² + 7x + 3?
(1) (2x + 1)(x + 3)
(2) (2x + 3)(x + 1)
(3) (x + 1)(x + 3)
(4) (2x + 3)(x - 1)
Fill in the blank: The difference of squares formula is a² - b² = (a + b)(_______).
Fill in the blank: The difference of squares of x and 5 is x² - _______.
Fill in the blank: The expression x² - 2x - 15 factors to (x - 5)(_______).
Fill in the blank: The expression x² + 8x + 16 factors to (x + _______)².
True or False: The expression 2x(x + 4) is already factored.
True or False: The expression 3x² + 6x can be factored as 3x(x + 2).
True or False: The expression x² - 1 is a difference of squares.
True or False: The expression x² - 6x + 9 is a perfect square trinomial.
