Nov 12 Warm Up

Front

What is the process of factoring a polynomial?

Back

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

Front

What is the greatest common factor (GCF) in polynomial factoring?

Back

The GCF is the largest polynomial that divides all terms of the polynomial without leaving a remainder.

Front

How do you factor the polynomial 6x^2 - 9x + 9?

Back

You can factor it as 3(2x^2 - 3x + 3) by taking out the GCF of 3.

Front

What is the factored form of 12x^5 + 16x^3?

Back

The factored form is 4x^3(3x^2 + 4), where 4x^3 is the GCF.

Front

How do you identify the GCF of the terms in a polynomial?

Back

To find the GCF, identify the highest power of each variable and the largest coefficient common to all terms.

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for the GCF of all the terms in the polynomial.

Front

What does it mean to factor by grouping?

Back

Factoring by grouping involves rearranging and grouping terms in a polynomial to factor them more easily.

Front

How can you check if your factored polynomial is correct?

Back

You can check by multiplying the factors back together to see if you obtain the original polynomial.

Front

What is the significance of the polynomial 5x + 60x^4 in factoring?

Back

It can be factored as 5x(1 + 12x^3), demonstrating how to factor out a common term.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents combined using addition, subtraction, and multiplication.