Model Add Subtract and Multiply Polynomials

Add the polynomials. Enter the correct answer.

Mathematical Equivalence

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Find the product
(x +2)(x + 3)

• x² + 5x + 6

• x² + x + 6

• x² + 5x + 5

• x² + 6x + 6

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

• x_² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

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

• 2x² + 3x +1

• -2x² - 11x -4

• 2x² + 5x -7

• -2x² + 11x -4

Find the difference
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 

• -7n² - 8n + 3 

• -6n² - 8n + 3

• -7n² - 4n + 3

Multiply.

(2b+3)(3b²+2b+1)

• A

  6b³ + 6b² + 6b + 3

• B

  6b³ + 13b² + 8b + 3

• C

  5b³ + 8b² + 3b + 4

• D

  5b³ + 6b² + 3b + 4

Which expression is equivalent to 2(3g - 4) - (8g + 3)?

• -2g - 1

• -2g - 5

• -2g - 7

• -2g - 11

Find the difference
(4x²+ x) - (x²+ 2x)

• 3x² - x

• 4x² + 2x

• 5x² + 3x

• 3x² + 2x

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

Simplify:
(3x-5) (4x²-2x-3)

• 12x³ - 26x² - 25x + 15

• 12x³ - 20x² - 5x + 15

• 12x³ - 20x² - 6x + 15

• 12x³ - 26x² + x + 15