Adding and Subtracting Polynomials

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

• 3y³ + 7y² - 4y + 3
• 4y² + 3y³ - y + 3
• -y⁴ + 2y³ -y - 4
• 4y³ + 3y² -3y + 1

Tags

CCSS.HSA.APR.A.1

Subtract (4x -5 +3x²) from (3- 2x + 2x²)

• x² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

Simplify each expression. 
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

• 11x⁴  + 2x² + 14x
• 16x⁴  + x² + 14x
• 11x⁴  + x² + 14x
• 11x⁴  + 2x² + 10x

Tags

CCSS.HSA.APR.A.1

6m + 3z + 4m + 2w - 5z

• 10m + 2z -2w

• m + z + w

• 10m - 2z + 2w

• 2m - 2z + 2w

Which of the following are examples of like terms?

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

Tags

CCSS.6.EE.A.2B

(x³-x²+4) - (3x³-2x²+3)

• -2x³-3x²+7
• -2x³+x²+1
• 2x³-3x³-1
• 4x³-3x²+7

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

Combine like terms to simplify:
 (5x + 2) + (4x + 5)

• 9x -7
• -9x-11
• 9x+7
• x+7

Tags

CCSS.7.EE.A.1

Which of the following is a 5th degree trinomial with a leading coefficient of -2? 

• -2x⁵ + 3x - 1
• 5x^-2 +3x - 1
• -2x⁵ + 3x⁴ + 2x³ + x² - 10
• 2x + 5

Tags

CCSS.HSA.APR.A.1

What is the constant in the polynomial x²-2x+5?

• 1
• 2
• 5
• 0

Tags

CCSS.6.EE.A.2