Polynomial Review

Add 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

Subtract 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

Multiply Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

x(x + 5)

x² + 5x

300

Multiply the Polynomials:

2x(x² - x+ 5)

2x³ - 2x² +10x

400

Multiply the Polynomials:

5y(y² + 2y - 6)

5y³ + 10y² - 30y

500

Multiply the Polynomials:

4x³ (2x² + 6x -3)

8x⁵ + 24x⁴ -12x³ 

Factor Polynomials

100

Factor using the GCF

4r + 4

4(r + 1)

200

Factor using the GCF

2x² - 10x

2x(x - 5)

300

Factor using the GCF

15a³ - 25a² + 10a

5a(3a² - 5a + 2)

400

Factor using the GCF

12x⁵ + 3x⁴ +24x²

3x²(4x³ + x² + 8)

500

Factor using the GCF

4x³y² - 16x²y - 32xy

4xy (x²y - 4x - 8)

Classify Polynomials

100

Classify by the degree and number of terms.

x²  - 25  

Quadratic Binomial

200

Classify by the degree and number of terms.

4x  

Linear Monomial

300

Classify by the degree and number of terms.

x³ + 8x² + 16x + 4

Cubic Polynomial

400

What is the leading coefficient? 

12x + 9 - 4x² 

(Hint: is this in standard form?)

-4

500

Classify by the degree and number of terms

9x⁴ - 24x² + 16x

Quartic Trinomial