AA-Factoring Polynomials

Front

What is factoring in polynomials?

Back

Factoring is the process of 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 is the largest factor that divides all the terms of a polynomial without leaving a remainder.

Front

How do you factor a quadratic polynomial of the form ax^2 + bx + c?

Back

To factor a quadratic polynomial, find two numbers that multiply to ac (the product of a and c) and add to b. Then, rewrite the polynomial using these numbers.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that states a^2 - b^2 = (a + b)(a - b).

Front

Factor the polynomial: 2x^2 + 2x - 12

Back

2(x + 3)(x - 2)

Front

What is a polynomial?

Back

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

Front

How do you identify the GCF of the polynomial 12t^3 + 30t^2 + 48t?

Back

The GCF is found by identifying the highest power of each variable and the largest coefficient common to all terms. For this polynomial, the GCF is 6t.

Front

What is a binomial?

Back

A binomial is a polynomial that consists of exactly two terms.

Front

Factor the expression: x^2 - 64

Back

(x + 8)(x - 8)

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of exactly three terms.