Factoring Polynomials Completely

x² - 16

• (x + 4) (x - 4)

• (x + 8) (x - 2)

• (x + 4)²

• x + 4(x - 4)

Tags

CCSS.HSA.APR.C.4

7r³-8r²+42r-48

• (r²+6)(7r+8)

• (r²+6)(7r-8)

• (r²+6)(r²+8)

• (r²+6)(7r+6)

30x³+15x²-18x-9

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)

A rectangle has an area of 2x² – 19x +45 ft². What are the dimensions of the rectangle?  

• (2x - 9)(x - 5)

• (2x + 9)(x + 5)

• (2x - 5)(x - 9)

• (2x - 5)(x + 9)

A rectangle has an area of 25x² - 81, what are the length and width of the rectangle?

• (5x - 9) & (5x + 9)

• (5x - 9) & (5x - 9)

• (5x + 9) & (5x + 9)

• There is no way for us to know.

Factor 4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Factor Completely.  
8x³ - 18x

• 2x(4x²-9)                                    

• (4x²+3)(2x-3)

• 2x(2x+3)(2x-3)

• PRIME

Tags

CCSS.HSA.APR.C.4

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

Factor completely:
-8x² + 10x + 3

• (2x - 3) (-4x - 1)

• -1 (2x - 3) (4x + 1)

• -1 (-2x + 3) (4x + 1)

• (-2x + 3) (4x + 1)

3x² - 15x + 18

• 3(x-2) (x-3)

• (3x-6) (x-3)

• (3x-9) (x-2)

• PRIME