Factoring Polynomials

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

Front

What is the standard form of a quadratic polynomial?

Back

The standard form of a quadratic polynomial is ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic polynomial?

Back

To factor a quadratic polynomial means to express it as a product of two binomials.

Front

What is the difference of squares?

Back

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

Front

How do you factor the expression n² + 16n + 63?

Back

The expression factors to (n + 7)(n + 9).

Front

What is the factored form of x² - 36?

Back

The factored form is (x + 6)(x - 6).

Front

What is the process to factor k² + 7k + 10?

Back

To factor k² + 7k + 10, find two numbers that multiply to 10 and add to 7, which are 2 and 5. Thus, it factors to (k + 2)(k + 5).

Front

What is the factored form of 3v² - 4v - 7?

Back

The expression factors to (3v - 7)(v + 1).

Front

How do you factor the expression 9x² - 6x - 8?

Back

The expression factors to (3x + 2)(3x - 4).