Factoring Polynomials

Front

What is Factoring Polynomials?

Back

Factoring polynomials involves breaking down a polynomial into simpler components (factors) that, when multiplied together, give the original polynomial.

Front

What is the Greatest Common Factor (GCF)?

Back

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

Front

How do you find the GCF of 4b^5, 4b^3, and 16b^2?

Back

The GCF is 4b^2.

Front

Factor the GCF: 4b^5 + 4b^3 + 16b^2

Back

4b^2(b^3 + b + 4)

Front

What is the GCF of -28a^6, 20a^4, and -40a^3?

Back

The GCF is 4a^3.

Front

Factor the GCF: 10x^2 + 15x - 5

Back

5(2x^2 + 3x - 1)

Front

What is the GCF of 5x^2 and 20x?

Back

The GCF is 5x.

Front

What is the GCF of -5x and -25?

Back

The GCF is -5.

Front

How do you factor a polynomial?

Back

To factor a polynomial, identify the GCF, then divide each term by the GCF and express the polynomial as a product of the GCF and the resulting polynomial.

Front

What is a polynomial?

Back

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