Polynomials

Adding

100

(t-25) + (12t+14)

What is 13t -11

200

(x² -x -2) + (7x² -x)

What is 8x² -2x -2

300

(-3p³ + 5p² - 2p) + (-p³ -8p² - 15p)

What is... -4p³ -3p² -17p

Subtracting

100

(b - 10) - (8b +14)

What is... - 7b - 24

200

(y² - 4y + 9) - (3y² - 6y -9)

What is... -2y² + 2y + 18

300

(4.5d - 6d³ + 3d²) - (10d³ + 7d -2.5)

What is... - 16d³ + 3d² -2.5d + 2.5

Multiplying

100

-2a²(4a + 9)

-8a³ - 18a²

200

(2g² + 8)(2g + 5)

What is... 4g³ + 10g² + 16g + 40

300

(0.5v + 4)(-6v² - 6v + 10.8)

- 3v³ - 27v² - 18.6v + 43.2

Dividing

100

2x³ + x² - 6x - 8 ÷ x - 2

2x² + 5x + 4

200

(-4h⁴ + 6h³ -2h²) ÷ (h)

What is... -4h³ + 6h² -2h

300

-9h⁴ + 27h³ ÷ 3h²

What is... -3h² + 9h

Word Problems

100

What is the sum of (5t - 50) and (2t + 28).

What is... 7t - 22

200

The sum of two polynomials is 3x² - 7x +5. One of the polynomials is x - 2. What is the product of the polynomials?

What is... 3x² -8x +7 + x - 2 = 3x² - 7x + 5

300

The cost (in dollars) of making b bracelets is represented by 4 + 5b. The cost (in dollars) of making b necklaces is represented by 8b + 6. Write a polynomial that represents how much more it costs to make necklaces than bracelets.

What is... 3b + 2