factor algebraic expression

Front

What is factoring in algebra?

Back

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

Front

What does it mean to factor an expression like 4x + 12?

Back

To factor 4x + 12 means to express it as a product of its factors, which is 4(x + 3).

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest number that divides all the terms in an expression without leaving a remainder.

Front

How do you find the GCF of 4 and 12?

Back

The GCF of 4 and 12 is 4, as it is the largest number that divides both evenly.

Front

Factor the expression: 2x + 8

Back

2(x + 4) is the factored form.

Front

What is the factored form of 3x² + 12x?

Back

3x(x + 4) is the factored form.

Front

How do you factor the expression 8uv - 3v?

Back

You can factor it as v(8u - 3).

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means rewriting it as a product of simpler polynomials.

Front

What is the factored form of 12x² + 15x?

Back

3x(4x + 5) is the factored form.