Factoring

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is the purpose of factoring a polynomial?

Back

The purpose of factoring a polynomial is to simplify it, solve equations, and find the roots of the polynomial.

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.

Front

What does it mean to factor by grouping?

Back

Factoring by grouping involves rearranging and grouping terms in a polynomial to factor it into simpler binomials.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms.

Front

What is a trinomial?

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A trinomial is a polynomial that contains exactly three terms.

Front

How do you factor the expression 20x³ - 25x² + 4x - 5?

Back

The expression factors to (5x² + 1)(4x - 5).

Front

How do you factor the expression 5n³ - 10n² + 3n - 6 by grouping?

Back

The expression factors to (5n² + 3)(n - 2).

Front

What is the factored form of a² - a - 12?

Back

The expression factors to (a - 4)(a + 3).

Front

How do you factor the expression 2n³ + 16n + 12?

Back

The expression factors to 2(n³ + 8n + 6).