A2TH Sect R3 Factoring Exit

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, or factors, that when multiplied together give the original expression.

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

How do you factor a polynomial with a GCF?

Back

To factor a polynomial with a GCF, first identify the GCF of all the terms, then divide each term by the GCF and write the expression as the GCF multiplied by the resulting polynomial.

Front

What is the first step in factoring a polynomial?

Back

The first step is to check if there is a GCF among the terms.

Front

Factor the expression: 8x³ + y⁶

Back

(2x + y²)(4x² - 2xy² + y⁴)

Front

Factor the expression: 2n² - 8n³

Back

2n²(1 - 4n)

Front

Factor the expression: 2n³ + 16n + 12

Back

2(n³ + 8n + 6)

Front

Factor the expression: 4h² - 17h + 4

Back

(h - 4)(4h - 1)

Front

What is a polynomial?

Back

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

Front

What is the difference between a monomial, binomial, and trinomial?

Back

A monomial has one term, a binomial has two terms, and a trinomial has three terms.