Factorising polynomials

Factor by grouping:

30x³+15x²-18x-9

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)

FACTOR
7w³-14w

• 7w(w²-2)
• 7w(w²-2w)
• 7w(w-2)
• 7w(w+2)

The area of a rectangular garden is 9t² – 64 square units. If one side is 3t – 8, what is the other side?

• 3t - 8

• 3t + 8

• t - 8

• t + 8

Find factors for 16ab - 20ad +12bc - 15 cd.

• (4a² + 3c)(4b² - 5d)

• (4a + 2c)(4b - 3d)

• (4a + 3c)(4b - 5d)

• (4a - 3c)(4b - 5d)

Factor:

x² + 3x + 8x + 24

• (x + 6)(x + 4)

• (x + 12)(x + 2)

• (x - 8)(x - 3)

• (x + 8)(x + 3)

An expression that can't be factored is referred to as _________.

   Factor:
6m² + 16m

• 2(3m² + 8m)
• 2m(3m + 8)
• 2m(3m - 8m)
• not factorable

Factor: 7r³ - 8r² + 42r - 48

• (r² + 6)(7r + 8)

• (r² + 6)(7r - 8)

• (r² + 6)(r² + 8)

• (r² + 6)(7r + 6)

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Find the expression equivalent to 8x⁴ + 22x³ - 6x²

• 2x²(4x - 1)(x + 3)

• 2x²(4x - 1)(x - 3)

• 2x²(4x + 1)(x - 3)

• 2x(4x - 1)(x + 3)