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. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 8

Explain why the expression x² + 1 cannot be factored over the real numbers.

Factor completely: 12x²y - 8xy.

Factor completely: 2x² - 8.

Factor completely: 3x² - 12x.

Factor completely: 4x² - 25.

Factor completely: 5x² - 20x + 20.

Factor completely: 6x² + 9x.

Factor completely: 8x² - 18.

Which method is best for factoring x² - 49? (1) Grouping (2) Difference of squares (3) Quadratic formula (4) Completing the square

Which of the following expressions is NOT factorable over the integers? (1) x² + 2x + 1 (2) x² + 5x + 6 (3) x² + x + 1 (4) x² - 9

Which of the following is a factor of x² - 16? (1) x + 4 (2) x - 4 (3) x + 8 (4) x - 8

Which of the following is a factor of x² - 4x? (1) x (2) x - 4 (3) x + 4 (4) 2x

Fill in the blank: The expression x² - 16 is an example of the _______ of squares.

Fill in the blank: The GCF of 14x³ and 21x² is _______.

Fill in the blank: The GCF of 15x² and 25x is _______.

Fill in the blank: The GCF of 18a²b and 24ab² is _______.

True or False: The expression 2x(x + 4) is already factored.

True or False: The expression x² - 25 is a difference of squares.

True or False: The expression x² + 10x + 25 can be factored as (x + 5)².

True or False: The expression x² + 2x + 1 is a perfect square trinomial.