Diamond Factoring and Gcf

Identify if the expression can be factored as sum or difference of cubes:

3x³ + 24

• No

• Yes

• Yes, getting GCF first

• It is a sum of squares

Factor completely:

3x² + 18x +15

Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Factor

n² + 16n + 63

• (n-7)(n+4)

• (n+7)(n-9)

• (n-3)(n-10)

• (n+7)(n+9)

Factor

3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)

What is the GCF of the polynomial.

• 8x⁴y

• 8x⁵y³

• 4x⁴y

• 4x⁵y³

What is the GCF of the polynomial.

• -2x

• -2x²

• -2x³

• -2x⁴

• -2x⁵

What is the GCF of the polynomial.

• 3ab

• 3a²b

• 3ab³

• 3a²b³

What is the GCF of the polynomial.

• 3x⁵y³

• 3x⁵y²

• 3x⁸y3

• 3x⁸y²

What is the GCF of the polynomial.

• 9

• 9b

• 9b²

• 9b³

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make a triangle

• Write the answer