Add Polynomial

Imagine you're an agricultural scientist named Dr. Green working on a project that involves calculating the growth of two different types of crops over time. The growth of Wheat crop is represented by the equation 7x² - 3x, and the growth of Corn crop is represented by 5x² + x + 3. You need to combine these equations to predict the total growth of these crops. What equation represents the total growth?

• 12x² - 2x + 3

• 2x² + 4x + 3

• 12x⁴ + 2x² + 3

• 2x² - 4x - 3

Sarah is planning a small party and is calculating the total cost of decorations and snacks she bought. She spent on decorations
 (5x + 2) dollars and on snacks
 (4x + 5) dollars. Combine like terms to find the total cost.

• 9x -7

• -9x-11

• 9x+7

• x+7

Two engineers are working on a project to optimize a network's data flow. Engineer A improves the network's efficiency with a polynomial improvement of (3x³ + 3x² – 4x + 5), while Engineer B finds another optimization represented by (x³ – 2x² + x – 4). What is the combined improvement to the network's efficiency when both optimizations are applied?

• 4x³ + 1x² – 3x + 1

• 2x³ + 1x² - 5x + 9

• 6x³ + 1x - 1x² - 3

• 3x⁵ +1x - 1x⁵ - 3x

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

• 3x² + 2x + 1

• 2x² + 3x +1

• 2x² + 5x - 7

• 3x² + 4x⁵ -7x

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

• 3y³ + 4y² - y + 3

• 4y² + 3y³ - y + 3

• -y⁴ + 2y³ -y - 4

• 4y³ + 3y² -3y + 1

Simplify
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + 1x² – 3x + 1

• 2x³ + 1x² - 5x + 9

• 6x³ + 1x - 1x² - 3

• 3x⁵ +1x - 1x⁵ - 3x

Find the sum.

(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1

• -2x² - 11x -4

• 2x²+ 5x -7

• -2x² + 11x -4

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

Add the polynomials.

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

• 3x + 5y

• 5x + 3y

• 5x + 7y

• 7xy + 1xy

Simplify each expression.

• 11x⁴ + 2x² + 14x

• 16x⁴ + x² + 14x

• 11x⁴ + x² + 14x

• 11x⁴ + 2x² + 10x