Factoring Polynomials.

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 does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

Factor the polynomial: 5x² - 11x + 6

Back

(5x - 6)(x - 1)

Front

Factor the difference of squares: x² - 25

Back

(x + 5)(x - 5)

Front

Find the factors of: x² + x - 6

Back

(x + 3)(x - 2)

Front

Factor the polynomial: n² + 16n + 63

Back

(n + 7)(n + 9)

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for a GCF (Greatest Common Factor) among the terms.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a + b)(a - b).

Front

How do you factor by grouping?

Back

To factor by grouping, you group terms with common factors, factor them out, and then factor the resulting expression.