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Finding Zeros

100

f(x)= 5r² - 31r +30

What is (5r -6) (r-5)?

200

f(x)= 4x²  + 8x -21

What is (2x + 7) (2x - 3)?

300

f(x)= 6p³ -42p² -p +7

What is (6p² - 1) (p-7)?

400

f(r)= 8r³ - 5r² -32r + 20

What is (r - 2)(r + 2)(8r - 5)?

500

f(x)= x⁴ + 2x² -63

What is (x² + 9)(x² -7)?

Rational Zero Theorem

100

f(x)= x³ -13x² -x + 13

What is ( 13, 1, -1)?

200

f(x)= x³ - 4x² + 4x

What is (0, 2 , 2)?

300

f(x)= x³ +4x² +5x +2

What is (-2, -1, -1)?

400

f(x)= x³ + 9x² +15x +7

What is (-7, -1, -1)?

500

f(x)= x³ - 3x -2

What is (2, -1, -1)?

Synthetic Division/Quadratic Formula

100

f(x)= x³ +17x² +71x +55 ; x+5

What is (-11, -1, -5)?

200

4r² + 11r -69=0

What is 3 and-23/4?

300

5k² -4k - 105=0

What is 5 and -21/5?

400

f(x)= x³ -11x² -29x +39 ; x+3

What is (13, 1, -3)?

Sum/Difference of Cubes

100

64 - x³

What is (4-x)(16 + 4x + x²)?

200

27u³ + 8

What is (3u + 2)(9u² - 6u +4)?

300

a³ - 125

What is (a - 5)(a² + 5a + 25)?

400

64x³ + 27 

What is (4x +3)(16x² - 12x +9)?

500

8u³ + 343

What is (2u +7)(4u² - 14u + 49)?