Polynomial Review

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Add the polynomials: 

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

ab(a²-ab+2b)

a³b-a²b²+2ab²

300

Multiply the Polynomials:

(2x - 3)(x - 1)

2x² - 5x + 3

400

Multiply the Polynomials:

(y + 5)(y² + 2y - 6)

y³ + 7y² + 4y - 30

500

Multiply the Polynomials:

(x²+4x - 1)(2x² +6x -3)

2x⁴+14x³ + 19x²-18x + 3

Dividing Polynomials

100

Divide the polynomials:

(x² + 3x - 4) / (x - 1)

(x+4)

200

Divide the polynomials:

(4n²-3n-10)/(n+1)

4n-7 R-3

300

Divide the polynomials:

(m³+4m²-4m-22)/(m+2)

m²+2m-8 R-6

400

Divide the polynomials:

(x⁴+6x³+2x²-17x+3)/(x+3)

x³+3x²-7x+4 R-9

500

Divide the polynomials: 

(8x³+80x²-3)/(x+10)

8x² R-3

Vocab

100

Degree of the polynomial: 

x²+3x-4x⁴+4x+5

Degree=4

200

Put the polynomial in standard form: 

4x²-x³+x⁴-1+2x-3x+4x²

x⁴-x³+8x²-x-1

300

The leading coefficient of the polynomial 

8x²+3x²+x-8

11

400

Type of polynomial:

-3x²+2x

Binomial

500

Is x-4 a factor of x³-13x-12? If so, write the polynomial as a product of two factors

Yes, (x-4)(x²+4x+3)