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 non-negative integer 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 factored form of x² - 16?

Back

(x - 4)(x + 4) - This is a difference of squares.

Front

How do you factor x² - 16x + 48?

Back

The factors are (x - 12)(x - 4).

Front

What is the factored form of a² - a - 12?

Back

(a - 4)(a + 3).

Front

How do you factor x² - x - 12?

Back

The factors are (x - 4)(x + 3).

Front

What is the factored form of x² - 20x + 51?

Back

(x - 17)(x - 3).

Front

How do you factor x² - 14x + 24?

Back

The factors are (x - 12)(x - 2).