Unit 3A Days 1 - 5 REVIEW 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 GCF is the largest factor that two or more numbers share. It is used in factoring to simplify expressions.

Front

Factor the expression: 4b^5 + 4b^3 + 16b^2

Back

4b^2(b^3 + b + 4)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax^2 + bx + c.

Front

Factor completely: 3x^2 + 18x + 15

Back

3(x + 5)(x + 1)

Front

What is the difference of squares?

Back

The difference of squares is a special factoring technique used for expressions in the form a^2 - b^2, which factors to (a - b)(a + b).

Front

Factor the expression: x^2 - 169

Back

(x - 13)(x + 13)

Front

What is the purpose of factoring by grouping?

Back

Factoring by grouping is used to factor polynomials with four or more terms by grouping terms in pairs and factoring out common factors.

Front

Identify the factoring technique: 96n^3 + 120n^2 - 84n - 105

Back

GCF out 3 and then factor by grouping.

Front

Factor the expression: 45x^2 - 20y^2

Back

5(3x + 2y)(3x - 2y)