Multiplying and Factoring Polynomials Flashcard Review

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 does GCF stand for in polynomials?

Back

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

Front

How do you multiply two binomials?

Back

To multiply two binomials, use the distributive property (FOIL method): First, Outer, Inner, Last.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of (2x - 1)(x + 2)?

Back

2x² + 3x - 2.

Tags

CCSS.HSA.APR.A.1

Front

What is the GCF of 5x² + 20x?

Back

5x.

Front

How do you factor the polynomial 3a² + 4a + 1?

Back

(3a + 1)(a + 1).

Front

What is the result of (x - 5)(x + 1)?

Back

x² - 4x - 5.

Tags

CCSS.HSA.APR.A.1

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)² is equal to a² + 2ab + b².

Tags

CCSS.HSA.APR.C.4

Front

What is the result of multiplying (z + 10)²?

Back

z² + 20z + 100.

Tags

CCSS.HSA.APR.C.4

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.