Factor Applications Practice

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 rectangular garden has an area of 4x² - 64. What are the dimensions of the garden?
(Hint: Factor)

• (2x + 8) by (2x - 8)

• (2x + 8) by (2x + 8)

• (2x - 8) by (2x - 8)

• Prime

A rectangle has an area of 2x² – 19x +45 ft². What are the dimensions of the rectangle?   (Hint: you need to factor with bridge method)

• (2x - 9) ft

  and (x - 5) ft

• (2x + 9) ft

  and (x + 5) ft

• (2x - 5) ft

  and (x - 9) ft

• (2x - 5) ft

  and (x + 9) ft

Factor by grouping:

4p³ + 8p² + 3p + 6

• (2p² + 3)(p + 2)

• (2p² + 6)(p + 4)

• (4p² + 3)(p + 2)

• (4p² + 8p)(3p + 6)

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSF-IF.C.7C

If a = 4x and b = 5, write a SUM of Cubes Problem that would need to then be factored.

Mathematical Equivalence

ON

Tags

CCSS.HSA.APR.C.4

Factor by grouping 7r³ - 8r² + 42r - 48

• (r² + 6)(7r + 8)

• (r² + 6)(7r - 8)

• (r² + 6)(r² + 8)

• (r² + 6)(7r + 6)

Factor by grouping:

5n³ - 10n² + 3n - 6

• (5n² + 3)(n - 2)

• (5n² - 3)(n - 2)

• (5n³ + 3)(n - 2)

• 10n(n² - 6)

Factor by grouping x³ - 4x² - 4x + 16

• (x + 4)(x + 2)

• (x - 4)(x² - 4)

• (x + 4)(x² - 4)

• (x - 4)(x - 2)