Factoring Polynomials and GCF

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 does GCF stand for?

Back

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

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax^2 + bx + c.

Front

What is the standard form of a quadratic polynomial?

Back

The standard form of a quadratic polynomial is ax^2 + bx + c, where a, b, and c are constants.

Front

What is the difference between a perfect square trinomial and a regular trinomial?

Back

A perfect square trinomial can be factored into the square of a binomial, while a regular trinomial cannot.

Front

Factor the polynomial: n^2 + 16n + 63

Back

(n + 7)(n + 9)

Front

Factor the polynomial: x^2 - 20x + 100

Back

(x - 10)^2

Front

Factor the polynomial completely: 2x^2 + 12x + 16

Back

2(x + 2)(x + 4)