Mixed Factoring Practice

Front

Define Mixed Factoring.

Back

Mixed factoring involves factoring expressions that may require different techniques, such as grouping, common factors, or special products.

Front

What is the standard form of a polynomial?

Back

Front

Simplify the expression: (3x³ + 9x² - 2x) - (7x³ - 6x² + 1).

Back

Front

What is the first step in factoring the expression 10a^4 + 16a + 10a^2?

Back

The first step is to factor out the greatest common factor, which is 2a.

Front

Factor the expression: 10a^4 + 16a + 10a^2.

Back

Front

Explain the method of factoring by grouping.

Back

Factoring by grouping involves rearranging terms in a polynomial to create groups that can be factored separately.

Front

Factor the expression by grouping: 4p^3 + 8p^2 + 3p + 6.

Back

Front

What is the purpose of factoring polynomials?

Back

Factoring polynomials simplifies expressions and helps solve equations by finding roots.

Front

Factor the expression: x^3 - 5x^2 + 5x - 25.

Back

Front

What is a prime polynomial?

Back

A prime polynomial is a polynomial that cannot be factored into simpler polynomials with integer coefficients.