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 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

What is the first step in factoring the polynomial 2x^2 + 21x + 10?

Back

Multiply the leading coefficient (2) by the constant term (10) to get 20.

Front

How do you find the factors of a polynomial?

Back

To find the factors, look for two numbers that multiply to the product of the leading coefficient and the constant term, and add to the middle coefficient.

Front

What are the factors of 5k^2 - 18k + 9?

Back

(5k - 3)(k - 3) are the factors.

Front

What is the purpose of listing factors when factoring polynomials?

Back

Listing factors helps identify pairs of numbers that can be used to break down the polynomial into simpler expressions.

Front

What is the first step in factoring the polynomial 2m^2 + 11m + 12?

Back

Multiply the leading coefficient (2) by the constant term (12) to get 24.

Front

What are the factors of 5n^2 + 11n - 12?

Back

(5n - 4)(n + 3) are the factors.

Front

What is the significance of the middle term in a trinomial?

Back

The middle term helps determine the two numbers that will be used to factor the polynomial.