241118 Adding and Subtracting Polynomials

Adding and Subtracting Polynomials

​

Multiple Choice

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7 
• 5a³ - 4a² - 14a - 7 
• 5a³ - 4a² - 20a - 7 
• 5a³ - 9a² - 20a - 7

Multiple Choice

Add the polynomials.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + 1x² – 3x + 1
• 2x³ + 1x² - 5x + 9
• 6x³ + 1x - 1x² - 3
• 3x⁵ +1x - 1x⁵ - 3x

Multiple Choice

Add the polynomials.
(2x + 5y) + (3x - 2y)

• 3x + 5y
• 5x + 3y
• 5x + 7y
• 7xy + 1xy

Multiple Choice

(4x³-5x²+3x)+(-2x³-x²+6x)

• 2x³-6x²-9x
• 2x³+6x²+9x
• -2x³-6x²+9x
• 2x³-6x²+9x

Multiple Choice

Simplify:

• 9n³ + 4n
• 7n³ + 6
• -3n³ + 2
• 7n⁶ + 6

Multiple Choice

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1
• -2x² - 11x -4
• 2x² + 5x -7
• -2x² + 11x -4

Multiple Choice

(x³-x²+4) - (3x³-2x²+3)

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

Multiple Choice

(x³-x²+4) - (3x³-2x²+3)

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

Multiple Choice

Add or Subtract to Simplify:
(x⁵ + x³) - (6x - x³ + 6x⁵)

• -5x⁵ + 2x³ - 6x
• 7x⁵ - 6x
• -5x³ + 2x² - 6x
• -5x⁵ - 6x

Multiple Choice

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

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

Multiple Choice

Add or Subtract to Simplify:
(4x²+ x) - (x²+ 2x)

• 3x² - x
• 4x² + 2x
• 3x² + 3x
• 3x² + 2x

Multiple Choice

Find the product:
(m+11)²

• m²+22m+121
• m²+11m+121
• m²+11m +11
• m²+22m +11

Multiple Choice

(5x+2y)(x²-3xy+6)

• 5x³ - 17x² y - 6xy² -30x +12y²

• 5x³ + 17x²y -6xy² - 30x +12y²

• 5x³ - 13x²y -6xy² - 30x +12y²

• 5x³ +13x²y - 6xy - 30x + 12y²

Multiple Choice

(x-3)(x²+2x+7)

• x³-x²+x-21
• x³+5x+13x-21
• x³-3x²+7x-21
• x²+2x-3

Multiple Choice

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12
• 5x³ + 17x² - 24x +12
• 5x³ - 13x² + 24x +12
• 5x³ +13x² - 24x - 12

Multiple Choice

(x + 5)(x + 4)

• x² + x + 20
• x² + 20x + 9
• x² + 9x + 20
• x² - 9x + 54

Multiple Choice

Simplify:
2x ( -2x -3)

• -4x - 3
• x² - 3
• -4x² - 6x
• -4x - 6

Multiple Choice

(x + 5)(x + 4)

• x² + x + 20

• x² + 20x + 9

• x² + 9x + 20

• x² - 9x + 54

Multiple Choice

Simplify:

$$5\left(3x+2\right)$$  

• $$3x+10$$

• $$15x+10$$  

• $$15x-10$$  

• $$3x-10$$  

Multiple Choice

Simplify the expression:
(4v³ + 3v - 8v⁴) + (4v - 8v⁴ - 7)

• -17v⁴ + 4v³ + 2v - 7
• -16v⁴ + 4v³ + 10v - 7
• -16v⁴ + 4v³ + 7v - 7
• -16v⁴ + 4v³ + 2v - 7

Multiple Choice

Multiply
(4x+3)(2x-1)

• 8x²-2x-3
• 8x-3
• 8x²+6x-3
• 8x²+2x-3

Multiple Choice

Simplify: (3x⁴ + 2x - 4x²) + (5x² - 8x + 6x⁴)

•  9x⁴ + 10x + 9x²
• 9x⁴ + x² - 6x
•  3x⁴ + 9x² + 6x
• 3x⁴ - 6x + x²

Multiple Choice

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

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

Multiple Choice

(5c-2)(3c²-5c+4)

• 15c³-31c⁴+30c²-8
• 15c³-19c²+10c-8
• 15c³-31c²+30c-8
• 15c³-31c²+30c+8

Multiple Choice

Multiply  7x²y³ (2x⁴y⁵+6xy³)

• 14x⁸y¹⁵+42x²y⁹
• 9x⁶y⁸+13x³y⁶
• 14x⁶y⁸+42x³y⁶
• 14x⁶y⁸+42x²y⁶