Factoring & Solving Polynomials Using the GCF (Week #7)

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of 12 and 18?

Back

The GCF of 12 and 18 is 6.

Front

What is the first step in factoring a polynomial using GCF?

Back

Identify the GCF of all the terms in the polynomial.

Front

Factor the polynomial using GCF: 8n^3 + 2n^2

Back

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

Front

What does it mean to solve a polynomial equation?

Back

To find the values of the variable that make the equation true.

Front

Solve the polynomial equation: (x + 1)(x - 4) = 0

Back

x = -1 and x = 4.

Front

What is the solution to the equation m^2 - 10m = 0?

Back

m = 0 and m = 10.

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 is the degree of the polynomial 3x^2 + 2x + 1?

Back

The degree is 2, which is the highest exponent of the variable.

Front

What is the difference between factoring and expanding a polynomial?

Back

Factoring breaks down a polynomial into simpler components, while expanding multiplies out the components to form a polynomial.