Polynomials & Polynomial Equations

Wild

100

Find the value of the function at P(2). 

P(x) = -3x2 + 2x -1.

-9

200

Combine like terms.

2a + 7 – 3 + 9a + 3 – 7a

4a + 7

300

Factor:

kw - tw + ky - ty

(w+y)(k-t)

400

Solve:

2x²+9x+4 = 0

x = -4

x = - 1/2

500

Factor:

8x³-27y³

(2x-3y)(4x²+6xy+9y²)

Adding & Subtracting

100

Add:

5x² – 8x³ + 3x – 2 and 4x³ + 5x² + 9 – x

-4x³ + 10x² + 2x + 7

200

Add:

(p³ – 5q² + 2pq) + (3pq³ – p³ – 6) + (4pq² + 5p³ – pq + 6)

5p³ + pq + 4pq² + 3pq³ - 5q²

300

Subtract:

(8p – 5q + 7r) – (2p + 5q – 4r)

6p - 10q + 11r

400

Find the additive inverse: 

-4y⁴ – 16x³y³ + 13xy²

4y⁴ + 16x³y³ - 13xy²

500

Subtract:

(15a – 5c + 4b) – (8b + 4c + 5a)

10a - 4b - 9c

Multiplying

100

(3xy + 4y)(x² – 2)

3x³y + 4x²y + 6xy - 8y

200

(-3x²y³ + 2t)(3x²y³ + 2t)

-9x⁴y⁶ + 4t²

300

(2x³ + y)(x² + 4y²)

2x⁵ + 8x³y² + x²y + 4y³

400

(5y³ + 3y – 6)(6y³ – 4y + 7)

30y⁶ - 2y⁴ - y³ - 12y² + 45y - 42

500

(2x+1)³

8x³ + 12x² + 6x + 1

Factoring

100

28t⁴ – 35t³ + 14t²

7t²(4t² - 5t + 2)

200

9y² – 64

(3y+8)(3y-8)

300

25x² – 20xy + 4y²

(5x-2y)²

400

72 – x – x²

(9+x)(8-x)

500

3x²-27

3(x+3)(x-3)

Factoring

100

9x² – 9y²

9(x+y)(x-y)

200

y² – 4y + 4 – 4x²

(y-2+2x)(y-2-2x)

300

a² – 10a + 24

(a-4)(a-6)

400

8x² + 9 – 18x

(2x-3)(4x-3)

500

4y²+20y-56

4(y+7)(y-2)