Factor Polynomials Completely

Front

What is the difference of squares formula?

Back

a² - b² = (a + b)(a - b)

Front

Factor: x² - 25

Back

(x + 5)(x - 5)

Front

What is the process of factoring a trinomial?

Back

To factor a trinomial of the form ax² + bx + c, find two numbers that multiply to ac and add to b.

Front

Factor: x² + 7x - 30

Back

(x + 10)(x - 3)

Front

What is a polynomial?

Back

A polynomial is an expression consisting of variables, coefficients, and non-negative integer exponents.

Front

Factor: x² - 36

Back

(x + 6)(x - 6)

Front

What does it mean to factor completely?

Back

To factor completely means to break down a polynomial into irreducible factors.

Front

Factor: x³ + 7x² - 2x - 14

Back

(x² - 2)(x + 7)

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.

Front

Factor: n² - 13n + 40

Back

(n - 5)(n - 8)