Simplifying Polynomials & Factoring by GCF

Classify by number of terms:
3x³ – 6x

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

What is the degree of this polynomial?

2x⁴ - 3x⁵ + x

• -3

• 2

• 4

• 5

What is the coefficient of this term?

9x³

• None

• 9

• 3

• x

Tags

CCSS.6.EE.A.2B

Simplify this polynomial:

3x² - x + 2 - 5x² + 8x - 5

• 8x² + 9x + 7

• -2x² + 7x - 3

• 2x² + 7x - 3

• 5x² - 3

Tags

CCSS.HSA.APR.A.1

(x² – 3x + 1) – (2x – 4x²) 

• -3x² - x + 1
• 5x² - x + 1
• 5x² - 5x + 1
• -3x² - 5x + 1

Tags

CCSS.HSA.APR.A.1

3x(x² – 4x – 5) 

• 3x³ - 12x² - 15x
• 4x³ - 7x² - 8x
• 3x³ - 12x - 15x
• 4x³ - 7x² - 15x

Tags

CCSS.HSA.APR.A.1

(2x -1)(x + 4) 

• 2x² - 7x - 4
• 2x² + 7x + 4
• -2x² + 7x - 4
• 2x² + 7x - 4

Tags

CCSS.HSA.APR.A.1

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)
• 5x(2x² - 3)
• 5(2x³ - 3x)
• 5x²(10x - 3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

10x + 50

• 10(10x+50)
• 10(x+50)
• 10(x+5)
• Cannot be factored

Tags

CCSS.7.EE.A.1

-6y + 36

• -6 (y -6)
• 6 (y + 6)
• -6 (1)
• cannot be factored

Tags

CCSS.7.EE.A.1