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 is the difference of squares?

Back

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

Tags

CCSS.HSA.APR.C.4

Front

How do you factor a quadratic polynomial?

Back

To factor a quadratic polynomial, find two numbers that multiply to ac (the product of a and c) and add to b (the coefficient of x).

Front

What is the factored form of x² - 16?

Back

(x + 4)(x - 4) - This is an example of the difference of squares.

Tags

CCSS.HSA.APR.C.4

Front

What is the factored form of 2x² + 8x?

Back

2x(x + 4) - Factor out the greatest common factor.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions.

Front

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

Back

(3v - 7)(v + 1) - This is a quadratic polynomial factored into two binomials.

Front

What is the factored form of 4n² - 17n - 15?

Back

(n - 5)(4n + 3) - This is a quadratic polynomial factored into two binomials.