Mixed Factoring Practice

Front

What is the process of factoring a polynomial?

Back

Factoring a polynomial involves expressing it as a product of its factors, which are simpler polynomials. This process helps in solving equations and simplifying expressions.

Front

Factor the polynomial: 3v^2 - 4v - 7

Back

(3v-7)(v+1)

Front

What is a quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree 2, typically in the form of ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

Factor the polynomial: x^2 + 5x + 6

Back

(x+2)(x+3)

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: 5x + 60x^4

Back

5x(1 + 12x^3)

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or terms. It is used to simplify expressions before factoring.

Front

Factor the polynomial: x^2 - 5x

Back

x(x - 5)

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as a + b or x^2 - 4.

Front

Factor the polynomial: 4x^2 - 9

Back

(2x-3)(2x+3)