Factor GCF, Difference of Squares, a=1

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers without leaving a remainder.

Front

How do you factor out the GCF from an expression?

Back

To factor out the GCF, identify the largest factor common to all terms, then divide each term by the GCF and write the expression as the GCF multiplied by the resulting expression.

Front

Factor the expression completely: 3x² + 18x + 15

Back

3(x + 5)(x + 1)

Front

What is the difference of squares?

Back

The difference of squares is a special product that states a² - b² = (a + b)(a - b).

Front

Factor the expression: y² - 196

Back

(y + 14)(y - 14)

Front

Factor the expression: x² - 144

Back

(x + 12)(x - 12)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

Factor the trinomial: p² + 18p + 45

Back

(p + 15)(p + 3)

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

Factor the expression: r² - 16r + 60

Back

(r - 6)(r - 10)