Factoring Polynomials with GCF

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

How do you find the GCF of 15 and 27?

Back

The GCF of 15 and 27 is 3.

Front

Factor the polynomial: 6m² + 16m

Back

2m(3m + 8)

Front

Factor the polynomial: 4b⁵ + 4b³ + 16b²

Back

4b²(b³ + b + 4)

Front

Factor the polynomial: 12x - 9

Back

3(4x - 3)

Front

What is the first step in factoring by GCF?

Back

Identify the GCF of all the terms in the polynomial.

Front

If a polynomial is prime, what does that mean?

Back

It means that the polynomial cannot be factored into simpler polynomials with integer coefficients.

Front

Factor the polynomial: 8x³ + 12x²

Back

4x²(2x + 3)

Front

What is the GCF of the terms 18x² and 24x³?

Back

6x².

Front

Factor the polynomial: 10a + 15b

Back

5(2a + 3b)