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Factoring Polynomials

100

Find the zeros.

x²+2x-24

x=-6 x=4

200

Find the x-intercepts

x²+16x+64

x=-8

300

Factor completely

x²+11x=-18

(x+9)(x+2)

400

Factor

6x²+7x-49

(3x-7)(2x+7)

500

*****NO CALCULATOR*****

Find the zeros

-x²=-13x+40

x=5 x=8

Add/Sub/Mult. Polynomials

100

(5p ² − 3) + (2p ² − 3 p ³ )

-3p³+7p-3

200

(4n − 3n ³ ) − (3n ³ + 4n)

-6n³

300

(12a ⁵ − 6a − 10a³  ) − (10a − 2a⁵ − 14a⁴ )

14a⁵+14a⁴-10a³-16a

400

(x − 3)(6x − 2)

6x²-20x+6

500

(6n² − 6n − 5)(7n² + 6n − 5)

42n⁴ − 6n³ − 101n² + 25

DoS & S/D of Cubes

100

Factor

9n² - 1

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

200

Find the zeros

x²-64

x=8, x=-8

300

Factor 

x³ + 125

(x+5)(x²-5x+25)

400

Factor

9x²-324

9(x+6)(x-6)

500

²Factor

8x⁴ + x

x(2x+1)(4x²-2x+1)

Stuff with Graphs

100

What is the domain of the function?

f(x)=x²-14x+40

(-inf.,+inf.)

200

What is the range of the function?

f(x)=|x-2|+3

y>= 3

300

What is the solution to the system of equations?

y = −x² + 5x + 6

y = x + 6

x= 0, x=4

400

What is the equation of the function with zeros at -4 and 0?

x²+4x

500

What is the equation of a graph with zeros at -2, 1, and 5?

x³-4x²-7x+10

Miscellaneous

100

Solve the system

y = x + 2

x = −3

x=-3

or

(-3,-1)

200

Write the equation of the series.

35, 32, 29, 26, ...

a_n=35-3(n-1)

or 38-3n

300

What is the equation of the sequence

9, 14, 19, 24, ...

a_n=9+5(n-1)

or 4+5n

400

Solve the system

x − y = 3

7x − y = −3

x=-1

or 

(-1,-4)

500

*****NO CALCULATOR*****

Factor

5x²-30x+40

5(x-2)(x-4)