Factoring Polynomials - Practice and Review

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, or factors, that when multiplied together give the original expression.

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 Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring technique used for expressions in the form a² - b², which can be factored as (a + b)(a - b).

Front

Factor the polynomial: n² + 16n + 63

Back

(n + 7)(n + 9)

Front

Factor completely: x² - 36

Back

(x + 6)(x - 6)

Front

Factor the expression: 8x³ - 16x²

Back

8x²(x - 2)

Front

What method should you use to factor the polynomial 5n³ - 10n² + 3n - 6?

Back

Factor by Grouping.

Front

What method should you use to factor the polynomial x² - 36?

Back

Difference of Squares.

Front

What is the purpose of factoring polynomials?

Back

Factoring polynomials helps simplify expressions, solve equations, and analyze functions.