Flashcard Review: GCF, Difference of Squares, Factoring trinomials

Front

What is the GCF (Greatest Common Factor) of the terms 10x^2, 15x, and -5?

Back

The GCF is 5.

Front

What is the difference of squares formula?

Back

The difference of squares formula is a^2 - b^2 = (a - b)(a + b).

Front

Factor the trinomial 5x^2 + 3x - 10.

Back

The factored form is (5x - 2)(x + 5).

Front

Identify 'a' in the trinomial 3x + 5x^2 - 10.

Back

'a' is 5.

Front

What is the factored form of n^2 + 16n + 63?

Back

The factored form is (n + 7)(n + 9).

Front

Which expression can ONLY be factored using the difference of two squares? 144x^2 - 49y^2, x^2 + 4x - 12, 100x^2 + 20x + 1, 14x - 16.

Back

The expression is 144x^2 - 49y^2.

Front

What is the first step in factoring a polynomial using GCF?

Back

Identify the GCF of all the terms in the polynomial.

Front

Factor the expression 10x^2 + 15x - 5 using GCF.

Back

The factored form is 5(2x^2 + 3x - 1).

Front

What does 'b' represent in the trinomial ax^2 + bx + c?

Back

'b' is the coefficient of the linear term.

Front

What is the factored form of x^2 - 16?

Back

The factored form is (x - 4)(x + 4).