Free Printable Unit 6: Factoring Polynomials

Worksheets

Unit 6: Factoring Polynomials

Total questions: 45

Worksheet time: 4hrs 45mins

Name

Class

Date

FACTORING means 'Breaking expressions into parts to show ________________'.

_{FACTOREAR significa 'Dividir expresiones en partes para mostrar ________________'.}

(a)

Factor. _Factor.

5x + 10

5(x + 10)

5(x - 10)(x + 10)

5(x + 2)

5 (x + 2) (x - 2)

Factor.

x² - 8x

x (x - 8)

(x - 4) (x - 2)

8 (x - 1)

Man... I don't know what's going on

😬

A polynomial with three unlike terms is called a

_{Un polinomio con tres términos diferentes se llama}

(a)

The polynomial 3x² is a _____ with a degree of __.

_{^{El polinomio 3x}}²_{^{es un _____ con grado de __.}}

Monomial

1st degree

Binomial

& 2nd degree

Monimial

2nd degree

Monomial

3rd degree

Identify the degree of the polynomial.

3x⁴ + 2x² - 7

_{Identificar el grado del polinomio.}

3rd degree

1st degree

3rd degree

4th degree

G.C.F. stands for...

_{G.C.F. representa...}

Got Cold Feet

🦶

Greatest Chicken Flavor

🍗

Greatest Common Factor

Greatest Coefficient Factor

What is the Greatest Common Factor of the following expression?

¿Cuál es el máximo común divisor de la siguiente expresión?

14b² + 7ab

Factor

x² - 25

(5 - x) (x - 5)

x (x - 5)

(5 - x) (x - 5)

(x + 5) (x - 5)

10.

Can I use the Binomial Pattern Shortcut to Multiply this expression?

_{¿Puedo usar el método abreviado de patrón binomial para multiplicar esta expresión?}

(2c + 3) (4a - 3)

I think so...

You can do anything if you put your mind to it...

Yes, you can.

No, you can't.

11.

Can I use the Binomial Pattern Shortcut to Multiply this expression?

_{¿Puedo usar el método abreviado de patrón binomial para multiplicar esta expresión?}

(x + 7) (x - 4)

I think so...

You can do anything if you put your mind to it...

Yes, you can.

No, you can't.

12.

What is the GFC between 5 and 65?

_{¿Cuál es la GFC entre 5 y 65?}

13.

Which of the following do you think is the GCF of 12x³ + 3x?

_{¿Cuál de los siguientes crees que es el MCD de 12x³ + 3x?}

3x²

14.

Factor by using GCF:.

_{Factorice usando GCF.}

8n³ + 2n²

n²(8n+2)

2n²(4n-1)

3n(4n+1)

2n²(4n + 1)

15.

Factor: 3x³+ 9x²- 15x

3x(x² + 3x - 5)

x(3x² + 9x - 15)

3x(x² - 9x + 15)

x(3x² -9x + 15)

16.

What method should you use to factor the polynomial?

_{¿Qué método deberías utilizar para factorizar el polinomio?}

8r³ - 16r²

Factor out the GCF

Difference of Squares

(FL Shortcut)

Trinomial Pattern

17.

Factor Completely:

x² - 36

(x + 9)(x - 4)

(x - 9)(x + 4)

(x - 6)(x - 6)

(x + 6)(x - 6)

18.

Factor Completely.
8x²−200

4(2x²−50)

4(2x+25)(2x−25)

8(x²−25)

8(x+5)(x−5)

19.

What are the factors of
25x² - 81?

Cannot be factored

(5x + 9)(5x + 9)

(5x - 9)(5x - 9)

(5x - 9)(5x + 9)

20.

Factor Completely.
8x³ - 18x

(4x²+3)(2x-3)

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

Bruh

😩

2x(4x²-9)

21.

Factor.

4x²- 64y²

( 2x - 8y) (2 x - 8y)

( 2x - 32y) (2 x + 32y)

( 2x - 8y) (2 x + 8y)

22.

A NUMBER that only has 2 factors... 1 and itself is called a _________ number.

_{UN NÚMERO que solo tiene 2 factores... 1 y él mismo se llama número _________.}

(a)

23.

Factor Completely

x⁴ - 36x²

x²(x² - 36)

x²(x- 6)(x + 6)

x(x² + 6)(x - 6)

24.

Which expression is equivalent to 16x⁴ - 64?

25.

Which expression is equivalent to 36x² - 100?

26.

Select all the factors of the following polynomial

_{Selecciona todos los factores del siguiente polinomio.}

x²− 6x − 40

(x-10)

(x-4)

(x+4)

(x+10)

(x-2)

27.

Factor Completely

_{Factorice completamente:}

x²+ 10x + 16

(x+4)(x+6)

(x-8)(x-2)

(x+8)(x+2)

(x+8)(x-8)

28.

Factor Completely:

_{Factorice completamente:}

x²- 17x + 72

(x-9)(x+8)

(x-9)(x-8)

x(x-3)

(x+9)(x+8)

29.

Factor Completely:

x²- 7x - 8

5(x+4)(x+5)

(x+1)(x+8)

(x-1)(x+8)

(x+1)(x-8)

30.

Factor Completely.

2k²- 14k - 60

Not Factorable

2(k-10)(k-3)

(k-5)(k+9)

2(k-10)(k+3)

31.

Factor Completely:

3x²+ 15x - 72

3(x+8)(x-3)

x(x+5)

(3x+24)(x-3)

3(x-8)(x+3)

32.

Factor Completely:

4k²+ 24k + 36

(2k-6)(2k+6)

(2k-6)²

4(k+3)²

(2k+6)²

33.

Which Trinomial has these factors?

_{¿Qué trinomio tiene estos factores?}

(x+3)(x+1)

x²+4x+3

x²+3x+3

5x + 3

2x+4x+3

34.

Find the factors of:

_{Encuentra los factores de:}

x²+ 7x + 12

(a)

35.

What is one of the factors of:

_{¿Cuál es uno de los factores de:}

x²−x−30?

(x+5)

(x-5)

(x+6)

(x-30)

36.

Which factorization below is the complete factorization of the trinomial:

_{La siguiente factorización es la factorización completa del trinomio:}

5x²+10x−15 ?

5x(x+3)(x-1)

5(x - 3)(x +1)

5(x + 3)(x - 1)

5x(x- 3)(x+1)

37.

What is the complete factorization of

_{¿Cuál es la factorización completa de}

3x²-3x - 18 ?

3x(x -3-6)

3(x + 2)(x - 3)

3(x -2)(x - 3)

3(x +3)(x -2)

38.

Factor completely.

x²−x−20

(x-5)(x+4)

(x-2)(x-10)

(x+5)(x+4)

(x-1)(x+20)

39.

Factor
x² +17x - 60

(x - 20)(x + 3)

(x - 12)(x + 5)

(x + 12)(x - 5)

(x + 20)(x - 3)

40.

Factor the following expression completely.
_{Factoriza completamente la siguiente expresión.}

2x²+ 12x − 54

2(x+9)(x−3)

(x−6)(x−10)

2(x−9)(x+3)

Not Factorable

41.

Factor the following expression completely.
_{Factoriza completamente la siguiente expresión.}

4n² +20n −24

n(n−9)

4(n−1)(n−6)

4(n−1)(n+6)

(n+3)(n−3)

42.

Factor the following expression completely.

100y²− 16

4(−5y+2)(5y−2)

4(25y+4)²

4(5y+4)²

4(5y+2)(5y−2)

43.

Which METHOD of factoring would work best on this expression?

_{¿Qué MÉTODO de factorización funcionaría mejor en esta expresión?}

49x⁴ - 36y²

Common Factors

FL Shortcut

Trinomial Pattern

44.

Which METHOD of factoring would work best on this expression?

_{¿Qué MÉTODO de factorización funcionaría mejor en esta expresión?}

x²− 9x

Common Factors

FL Shortcut

Trinomial Pattern

45.

Which METHOD of factoring would work best on this expression?

_{¿Qué MÉTODO de factorización funcionaría mejor en esta expresión?}

x²- 4x + 4

Common Factors

FL Shortcut

Trinomial Pattern

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Unit 6: Factoring Polynomials

Total questions: 45

Worksheet time: 4hrs 45mins

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