Factoring GCF and Difference of Squares

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 find the GCF of 5x^2 and 20x?

Back

The GCF is 5x.

Front

Factor the expression: 80x^5 - 70x^2 - 60x^7

Back

10x^2(8x^3 - 7 - 6x^5)

Front

What is the difference of squares?

Back

The difference of squares is a special product that can be expressed as a^2 - b^2 = (a + b)(a - b).

Front

Factor the expression: c^2 - 81d^2

Back

(c + 9d)(c - 9d)

Front

Factor the quadratic: n^2 + 16n + 63

Back

(n + 7)(n + 9)

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic, find two numbers that multiply to 'c' and add to 'b'.

Front

Factor the expression: k^2 + 7k + 10

Back

(k + 2)(k + 5)

Front

What is the formula for factoring the difference of squares?

Back

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