Factorising polynomials

Completely factor by grouping $-7x^2-24x-9$  

•  $\left(x+3\right)\left(7x-3\right)$  

•  $\left(x+3\right)\left(-7x-3\right)$  

•  $\left(x-3\right)\left(-7x-3\right)$  

•  $\left(x-3\right)\left(7x-3\right)$  

• none of the above

Factor: w³ + 3w

• 3w(1)

• w(w² + 3)

• w³(w + 3)

Factor by grouping:

6x² + 2x – 21x – 7

• (2x +7)(3x – 1)

• (1x – 1)(6x+7)

• (2x – 7)(3x+1)

• (6x – 7)(1x+1)

Factor:

 $5x^3+5x^2-100x$  

•  $5x(x+4)(x-5)$  

•  $5x(x-4)(x-5)$  

•  $5x(x-4)(x+5)$  

•  $5(x+4)(x-5)$  

7.

• y=(8r²+1)(r-8)

• y=(r²+1)(r-8)

• y=(4r^2-1)(r-8)

• The equation cannot be factored

Factor by Grouping:

3x³ - 3x² + x - 1

• (x² + 1)(3x + 1)

• (3x² + 1)(x - 1)

• (3x - 1)(x² - 1)

• (3x + 1)(x² - 2)

Which type of factoring should you use?

 $x^3-3x^2+4x-12$ 

• Sum of cubes

• Difference of cubes

• Difference of squares

• X puzzle

• Factor by grouping

15m² -10m - 25

• 5(m+1) (3m-5)

• (3m-5) (5m+5)

• 5(3m²-2m-5)

• 5(m-1)(3m+5)