Adding/Subtracting/Multiplying Polynomials

Addition of Polynomials

100

(4x² + 2x) + (x² + 6x)

5x² +8x

200

(-3y² + y) + (4y² + 6y)

y² +7y

300

(2a² - 7a + 10) + (a² + 4a + 7)

3a² -3a +17

400

(2r² - 5r + 7) + (3r³ - 6r)

3r³ + 2r² -11r + 7

500

Find the sum of 

(5r³ - 6r² +3r) and  (r² -2r - 3)

5r³ - 5r² + r - 3

Subtraction of Polynomials

100

(y² - 10xy) - (2y² + 3xy)

-y² -13xy

200

(2x² + 5x - 3) - (3x³ + 2x - 5)

-3x³ + 2x² +3x + 2

300

(-3a² - 2a) - (4a² - 4)

-7a² - 2a + 4

400

(4x³ + 5x + 2) - (1 + 2x - 3x²)

4x³ + 3x² +3x + 1

500

(4 - x - 2x²) - (-2 + 3x - x³)

x³ - 2x² - 4x + 6

Multiply

100

(6x²)(5x)

30x³

200

2x(x + 6) 

2x² + 12x 

300

(x - 2)²

x² - 4x + 4 

400

(4m + 2)(4m + 5)

16m² + 28m + 10

500

Find the product of 

(5b − 6) and (5b 2 + 4b − 2)

25b³ − 10b² − 34b + 12

Solution to System

100

Solve the equation 1/6(4x+12) = 9

x = 10.5

200

What is the solution set to the equation 3x²=24x?

x=0 and x=8

300

Given f(x) = x² and g(x) = 8x - 15 graphed on the same set of axes, which value(s) of x will make f(x) = g(x)? 

(1) 3, only                         (3) 3 and 5

(2) 9, only                         (4) 9 and 25

 (3) 3 and 5

400

Solve x²-6x+3=0. Round to the nearest hundredth

{0.55, 5.45}

500

Solve the following system of equations for all values of x and y. 

y=x²+9x+4

y-2x= -6

x= -2 and x= -5

Mix Review

100

If g(x) = -2x² + 16 , then g(-3) equals

-2

200

Solve x²+8x=22 for x by completing the squares. Round to the nearest hundredth. 

x= 2.16 and x= -10.16

300

Express (5x-3)(-2x+7) as a trinomial in a standard form. 

-6x²+41x-21

400

Given the function f(x)= -3x and g(x)=x²+2 .

State the coordinates that satisfy the equation 

f(x) = g(x) 

(-2, 6) and (-1 , 3)

500

Which equation represents the line that passes through the points (-1 , 8) and (4 , -2)? 

(1) y = -2x+6                        (3) y = -0.5x+7.5

(2) y= -2x+10                        (4) y = -0.5x+8.5

(1) y = -2x+6