Subtracting Polynomials

Like terms must have...

• The same coefficient
• The same variables
• The same variables and exponents
• The same coefficient, variables, and exponents

Tags

CCSS.HSA.APR.A.1

Which of the following are examples of like terms?

• 2 and 2x
• y³ and x³
• y and x
• -3x and 3x

Tags

CCSS.HSA.SSE.B.3

What is the standard form of the polynomial,
7x - 125 - 6x⁴ + 14x²

• 125 + 7x - 14x² +6x⁴
• 6x⁴  -14x² - 7x +125
• 125 + 14x² + 7x  - 6x⁴
• -6x⁴+ 14x² + 7x - 125

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the standard form of the polynomial,
 9x² + 5x + 27 + 2x³

• 27 + 5x + 9x² + 2x³
• 9x² + 5x + 2x³ + 27
• 9x² + 5x + 27 + 2x³
• 2x³ + 9x² + 5x + 27

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Subtract to Simplify:

(4x²+ x) - (x²+ 2x)

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x

(x³-x²+4) - (3x³-2x²+3) =

• -2x³-3x²+7

• -2x³+x²+1

• 2x³-3x³-1

• 4x³-3x²+7

Simplify each expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 
• -7n² - 8n + 3 
• -6n² - 8n + 3
• -7n² - 4n + 3

Tags

CCSS.HSA.APR.A.1

Simplify:

(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

• 4b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 4

• b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 7

Subtract the polynomials.

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

• -x + 3y

• -x + 7y

• 5x + 7y

• 7xy + 1xy

Tags

CCSS.HSA.APR.A.1

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x_² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Tags

CCSS.HSA.APR.A.1