Factoring Polynomials

Front

What is the Greatest Common Factor (GCF)?

Back

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

Front

How do you find the GCF of the terms −28a^6, 20a^4, and −40a^3?

Back

The GCF is 4a^3.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

Front

What is the factored form of 3v^2 - 4v - 7?

Back

(3v - 7)(v + 1).

Front

What is the factored form of 4x^2 - 25x + 25?

Back

(x - 5)(4x - 5).

Front

What does it mean if a polynomial is 'not factorable'?

Back

It means that the polynomial cannot be expressed as a product of polynomials with real coefficients.

Front

What is the factored form of 3a^2 + 4a + 1?

Back

(3a + 1)(a + 1).

Front

What is the factored form of k^2 + 7k + 10?

Back

(k + 2)(k + 5).

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.