Factoring Polynomials

Front

What is factoring in mathematics?

Back

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

Front

What does GCF stand for?

Back

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

Front

How do you factor the polynomial 3x² + 18x + 15?

Back

3(x + 5)(x + 1)

Front

What is the first step in factoring a polynomial?

Back

The first step is to check if there is a GCF (Greatest Common Factor) among the terms.

Front

Factor the polynomial x² - 16x + 48.

Back

(x - 12)(x - 4)

Front

What is the result of multiplying (2x + 3)(3x + 4)?

Back

6x² + 17x + 12

Front

What is the factored form of x² + 2x - 24?

Back

(x + 6)(x - 4)

Front

What is a polynomial?

Back

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

Front

What does it mean for a polynomial to be prime?

Back

A polynomial is prime if it cannot be factored into simpler polynomials with integer coefficients.

Front

How do you identify the GCF of the terms in a polynomial?

Back

To find the GCF, list the factors of each term and identify the largest factor common to all.