7th Grade (Factoring)

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, or factors, that when multiplied together give the original expression.

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) is the largest factor that two or more numbers share. It is used in factoring to simplify expressions.

Front

How do you factor a linear expression like 8x + 228?

Back

To factor a linear expression, identify the GCF of the terms. For 8x + 228, the GCF is 4, so it can be factored as 4(2x + 57).

Front

What is the factored form of 13x + 169?

Back

The factored form of 13x + 169 is 13(x + 13), where 13 is the GCF.

Front

How can you identify the GCF of the terms in an expression?

Back

To identify the GCF, list the factors of each term and find the largest factor that appears in all lists.

Front

What is the factored form of 3x + 69?

Back

The factored form of 3x + 69 is 3(x + 23), where 3 is the GCF.

Front

What is the factored form of 3x + 36?

Back

The factored form of 3x + 36 is 3(x + 12), where 3 is the GCF.

Front

What is the factored form of 4x + 40?

Back

The factored form of 4x + 40 is 4(x + 10), where 4 is the GCF.

Front

Why is factoring important in solving equations?

Back

Factoring is important because it allows us to simplify expressions and solve equations more easily by finding the roots or solutions.

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents.