Zak Polynomials

Classify

Adding Polynomials

Subtracting Polynomials

Multiplying Polynomials

Factoring GCF

Random

100

Name the polynomial

Constant / Monomial

100

Add the Polynomials

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

5x + 5

100

Subtract the polynomials:

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

-2g + 2

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

100

Factor out the GCF

30x-42

6(5x-7)

100

What are the three methods of solving a system of linear equations?

Graphing, Substitution, Elimination

200

Name the polynomial

7x²-5x+9

trinomial

200

Add the polynomials:

(-5x²+3x⁶+5) + (-5x⁶-5-3x²)

-2x⁶-8x²

200

Subtract the polynomials:

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

-12h - 8

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

200

Factor out the GCF

5a³+2a²

a²(5a+2)

200

What visual test can we perform on a graph to prove it is a function?

Vertical Line Test

300

Name the polynomial

3x³-6

Binomial

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

300

Multiply the Polynomials:

(2x-6)²

4x² -24x +36

300

Factor out the GCF:

2x² - 8x

2x(x-4)

300

Solve for x.

2(x - 1) - 6 = 10(1 - x) + 6

x=2

400

What is the degree of this polynomial?

2x²+7y+3x⁵+9

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³)

t³ +3t² +7t -3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

400

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n² + 13n - 4

400

Factor out the GCF:

6x⁴y⁴+ 3x²y

3x²y(2x²y³+ 1)

400

What is the slope of the line that passes through the points (-5,6) and (5,-2) ?

slope = -4/5

500

Is this polynomial the sum, difference, or sum & difference of squares?

x²- 16

Sum & Difference of Squares

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

500

Factor out the GCF

18n⁴+42nm+6n

6n(3n³+7m+1)

500

Solve:

Philip took a taxi to work that charged $2.70 per mile. At the end of the trip, Philip paid the driver a $3.00 tip. If his total was $16.50 for the taxi ride, about how far away was Philip's work?

5 miles