Factoring Out Monomials Practice - A

What is the first step in factoring out a monomial from a polynomial?

• Identify the greatest common factor (GCF)

• Multiply the terms by a constant

• Add a constant to each term

• Divide each term by the smallest coefficient

In the polynomial 6x² + 9x, what is the greatest common factor (GCF)?

• 3x

• 6x

• 9

• x^2

What does factoring out the GCF from a polynomial help to achieve?

• Simplifies the expression and reveals the structure of the polynomial

• Increases the degree of the polynomial

• Changes the polynomial into a quadratic equation

• Eliminates all variables from the polynomial

In the polynomial 12x³ + 18x², what is the factored form after factoring out the GCF?

• 6x²(2x + 3)

• 12x(1x² + 1.5x)

• 3x(4x² + 6x)

• 2x²(6x + 9)

What components are considered when identifying the GCF in a polynomial?

• Both coefficients and variables

• Only coefficients

• Only variables

• Neither coefficients nor variables

Factor: 18a² - 15a

Mathematical Equivalence

ON

Factor: 4x² + 64

Mathematical Equivalence

ON

Tags

CCSS.HSA.APR.C.4

Factor: 8x⁸ + 12x⁷

Mathematical Equivalence

ON

Factor: 2a³ + 16a + 12

Mathematical Equivalence

ON

Factor: 39y⁵ + 12y⁴ - 3y³

Mathematical Equivalence

ON