Factoring Polynomials with a Common Monomial Factor

It is a number, a variable or a combination of a number and a variable which can be found in each term of a given polynomial.

• Common Monomial Factor

• Difference of Two Squares

• Sum and Difference of Two Cubes

• Perfect Square Trinomials

Factor using GCF or monomial factoring: 2n²-8n³

• 2n²(n-4n²)

• 2n²(1-4n)

• 2n³(10-8n²)

• 3n(1-4n)

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

Factor using GCF or monomial factoring:

2x + 18

• 2(x + 9)

• 2(x + 8)

• 2(2x + 9)

• cannot be factored

Factor 4b⁵ + 4b³ + 16b².

• 4b²(b³ + b + 4)

• 4(b⁵ + b³ + 4b²)

• 4b³(b⁴ + 4b + 5)

• 4b³(b⁴ + b² + 4b)

Factor
4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Factor:

80x⁵-70x²-60x⁷

• 2x²(80x³-70-60x⁶)

• 10x²(80x⁴-70x-60x⁶)

• 10x²(8x³-7-6x⁵)

• 3x²(80x³-40-60x⁵)

What is the factor of 6x²-24x?

• 6x(x-4)

• 6x(x-24x)

• 6(x²-24x)

• 6x²(1-24x)

Factor
-10xy⁹z + 8y³z⁵

• 2y⁴z(-20xy⁶ + 4z⁴)

• 2y³z(-5xy⁶ +4z⁴)

• 2y³z(-5xy⁶z + 4z⁵)

• 2y³z(-5xy⁶z + 8z⁴)

Factor:

80x⁵ - 70x² - 60x⁷

• 2x²(80x³ - 70 - 60x⁶)

• 10x²(80x⁴ - 70x - 60x⁶)

• 10x²(8x³ - 7 - 6x⁵)

• 3x²(80x³ - 40 - 60x⁵)