eoc practice #12 spi 3102.3.3. eoc practice #12 factor polynomials

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EOC Practice #12 SPI 3102.3.3

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Page 1: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

EOC Practice #12SPI 3102.3.3

Page 2: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

EOC Practice #12

• Factor Polynomials

Page 3: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

Factor the following polynomials.

Page 4: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

1. x2 + 8x + 15

A. (x + 3)(x + 5)

B. (x – 3)(x + 5)

C. (x + 3)(x – 5)

D. (x – 3)(x – 5)

Page 5: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

2. x2 – 11x + 24

A. (x + 3)(x – 8)

B. (x – 2)(x – 12)

C. (x – 3)(x – 8)

D. (x + 2)(x + 12)

Page 6: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

3. 6x2 – 23x + 20

A. (2x – 5)(3x – 4)

B. (2x – 5)(3x + 4)

C. (2x – 5)(4x – 3)

D. (3x – 4)(5x + 2)

Page 7: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

4. 4x2 – 5x – 6

A. (x + 2)(3x + 4)

B. PRIME

C. (x – 3)(4x + 2)

D. (x – 2)(4x + 3)

Page 8: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

5. 30x2y4z + 35x3yz5 – 5xy2z6

A. 7xyz(6x + 5x2z4 – y)

B. PRIME

C. 5xyz(6xy3 + 7x2z4 – yz5)

D. 6x2y4z + 5x3yz5 – 1xy2z6

Page 9: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

6. x3 + 5x2 + 7x + 35

A. x(x2 + 5x + 7)

B. (x + 5)(x2 + 7)

C. (x + 7)(x2 + 5)

D. x(x2 + 5x + 42)

Page 10: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

7. 8x2 + 2x – 15

A. (4x – 5)(2x + 3)

B. (4x + 5)(2x – 3)

C. (8x – 5)(x + 3)

D. (8x – 3)(x + 5)

Page 11: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

8. Which expression is equivalent to n2 – 16n + 64?

A. (n – 32)(n – 2)

B. (n + 16)(n – 4)

C. (n – 8)(n – 8)

D. (n + 8)(n + 8)

Page 12: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

9. Which expression is equivalent to x2 – 36?

A. (x + 9)(x – 4)

B. (x – 6)(x – 6)

C. (x + 6)(x + 6)

D. (x + 6)(x – 6)

Page 13: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

10. Which expression is equivalent to c2 + 20c + 100?

A. PRIME

B. (c + 10)(c + 10)

C. (c – 10)(c – 10)

D. (c + 10)(c – 10)

Page 14: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

The Answers

Page 15: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

Factor the following polynomials.

Page 16: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

1. x2 + 8x + 15

A. (x + 3)(x + 5)

B. (x – 3)(x + 5)

C. (x + 3)(x – 5)

D. (x – 3)(x – 5)

Page 17: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

2. x2 – 11x + 24

A. (x + 3)(x – 8)

B. (x – 2)(x – 12)

C. (x – 3)(x – 8)

D. (x + 2)(x + 12)

Page 18: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

3. 6x2 – 23x + 20

A. (2x – 5)(3x – 4)

B. (2x – 5)(3x + 4)

C. (2x – 5)(4x – 3)

D. (3x – 4)(5x + 2)

Page 19: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

4. 4x2 – 5x – 6

A. (x + 2)(3x + 4)

B. PRIME

C. (x – 3)(4x + 2)

D. (x – 2)(4x + 3)

Page 20: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

5. 30x2y4z + 35x3yz5 – 5xy2z6

A. 7xyz(6x + 5x2z4 – y)

B. PRIME

C. 5xyz(6xy3 + 7x2z4 – yz5)

D. 6x2y4z + 5x3yz5 – 1xy2z6

Page 21: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

6. x3 + 5x2 + 7x + 35

A. x(x2 + 5x + 7)

B. (x + 5)(x2 + 7)

C. (x + 7)(x2 + 5)

D. x(x2 + 5x + 42)

Page 22: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

7. 8x2 + 2x – 15

A. (4x – 5)(2x + 3)

B. (4x + 5)(2x – 3)

C. (8x – 5)(x + 3)

D. (8x – 3)(x + 5)

Page 23: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

8. Which expression is equivalent to n2 – 16n + 64?

A. (n – 32)(n – 2)

B. (n + 16)(n – 4)

C. (n – 8)(n – 8)

D. (n + 8)(n + 8)

Page 24: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

9. Which expression is equivalent to x2 – 36?

A. (x + 9)(x – 4)

B. (x – 6)(x – 6)

C. (x + 6)(x + 6)

D. (x + 6)(x – 6)

Page 25: EOC Practice #12 SPI 3102.3.3. EOC Practice #12 Factor Polynomials

10. Which expression is equivalent to c2 + 20c + 100?

A. PRIME

B. (c + 10)(c + 10)

C. (c – 10)(c – 10)

D. (c + 10)(c – 10)