Topic 2 Expanding and Factorizing Algebraic Equations Flashcards
(30 cards)
Fill in the blank: To factor x^2 - 4, you would use the ___ difference of squares formula.
difference of squares
True or False: The expression x^2 - 5 can be factored into (x + √5)(x - √5).
True
What is the factored form of 2x^2 + 8x?
2x(x + 4)
Expand: (2x - 1)(x + 3).
2x^2 + 6x - x - 3, which simplifies to 2x^2 + 5x - 3.
What is the factored form of x^2 - 9?
(x + 3)(x - 3)
Expand the expression: (x + 5)(x + 2).
x^2 + 7x + 10
Expand the expression: (x + 1)(x - 1).
x^2 - 1
What is the result of factoring the expression x^2 + 8x + 15?
(x + 3)(x + 5)
Fill in the blank: The expression 6x^2 + 11x + 3 can be factored as ___ .
(2x + 1)(3x + 3)
True or False: To factor x^2 + 7x + 10, you need to find two numbers that multiply to 10 and add to 7.
True
What is the expanded form of 3(x + 2)(x - 1)?
3(x^2 + x - 2) = 3x^2 + 3x - 6
What do you call the process of rewriting an expression as a product of its factors?
Factoring
True or False: The expression (x + 3)^2 is equal to x^2 + 6x + 9.
True
What is the first step in factoring the expression 3x^2 + 12x?
Factor out the greatest common factor, which is 3x.
True or False: The expression 3x^2 + 12x can be factored as 3x(x + 4).
True
Expand the expression: (2x + 3)(3x - 4).
6x^2 - 8x + 9x - 12, which simplifies to 6x^2 + x - 12.
What is the factored form of the expression x^2 - 5x + 6?
(x - 2)(x - 3)
What is the factored form of 4x^2 - 16?
4(x - 2)(x + 2)
What is the process of expanding an algebraic expression?
The process of expanding an algebraic expression involves multiplying out the brackets and combining like terms.
What is the first step to factor the expression 2x^2 + 8x?
Factor out the GCF, which is 2x.
Fill in the blank: The expression 5x^2 - 20 can be factored as ___ .
5(x^2 - 4)
True or False: The expression x^2 + 4x + 4 can be factored as (x + 2)(x + 2).
True
True or False: Expanding (x + 2)(x + 3) results in x^2 + 5x + 6.
True
What is the result of expanding (x - 4)(x + 4)?
x^2 - 16
