Define factorisation.
The process of breaking down an expression into simpler components or factors.
True or false: Factoring can simplify expressions.
TRUE
Simplifying expressions can make them easier to solve or analyze.
Fill in the blank: The distributive property states that a(b + c) = _______.
ab + ac
What is the greatest common factor (GCF)?
The largest factor that divides two or more numbers without a remainder.
Define binomial.
An algebraic expression containing exactly two terms.
Fill in the blank: To factor x^2 - 9, we use the formula (x + _______)(x - _______).
3, 3
What is the difference of squares?
An expression in the form a^2 - b^2, which factors to (a + b)(a - b).
True or false: Factoring is only applicable to polynomials.
FALSE
Factoring can apply to various mathematical expressions, not just polynomials.
What does it mean to factor by grouping?
A method where terms are grouped to find common factors for simplification.
Fill in the blank: The expression 2x^2 + 8x can be factored as _______.
2x(x + 4)
Define factorisation.
The process of breaking down an expression into simpler components or factors.
True or false: Factoring can simplify expressions.
TRUE
Simplifying expressions can make them easier to solve or analyze.
Fill in the blank: The distributive property states that a(b + c) = _______.
ab + ac
What is the greatest common factor (GCF)?
The largest factor that divides two or more numbers without a remainder.
Define binomial.
An algebraic expression containing exactly two terms.
Fill in the blank: To factor x^2 - 9, we use the formula (x + _______)(x - _______).
3, 3
What is the difference of squares?
An expression in the form a^2 - b^2, which factors to (a + b)(a - b).
True or false: Factoring is only applicable to polynomials.
FALSE
Factoring can apply to various mathematical expressions, not just polynomials.
What does it mean to factor by grouping?
A method where terms are grouped to find common factors for simplification.
Fill in the blank: The expression 2x^2 + 8x can be factored as _______.
2x(x + 4)
