Factoring Quadratics with GCF Only

Front

What is the GCF (Greatest Common Factor)?

Back

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

Front

How do you factor a polynomial using GCF?

Back

1. Identify the GCF of all terms in the polynomial. 2. Divide each term by the GCF. 3. Write the polynomial as the product of the GCF and the resulting polynomial.

Front

Factor the expression: 15x^4 + 20x^3 - 25x

Back

5x(3x^3 + 4x^2 - 5) is the factored form.

Front

Factor the expression: 5x^2 + 20

Back

5(x^2 + 4) is the factored form.

Front

Factor the expression: 17xy - x

Back

x(17y - 1) is the factored form.

Front

Factor the expression: 2n^2 - 8n^3

Back

2n^2(1 - 4n) is the factored form.

Front

Factor the expression: 2x + 4

Back

2(x + 2) is the factored form.

Front

What is a polynomial?

Back

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

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which can be numbers, variables, or other polynomials.

Front

What is the difference between factoring and expanding?

Back

Factoring is breaking down a polynomial into simpler components, while expanding is multiplying out the components to form the polynomial.