FACTORISING: HCF, Grouping in Pairs & DOPS

Factor by removing the HCF:

18a²-15a

• 15a(3a-1)

• 3a(6a-1)

• 3(6a-5)

• 3a(6a-5)

Factorise

4b⁵ + 4b³ + 16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Factorise the following:

-9x - 27x²

• -x(9 + 27x)

• -9x(1 + 3x)

• -9(x + 3x²)

• 9x(1 - 3x)

What is the HCF of the trinomial?

6x⁵y⁴ + 24x⁶y² - 36x³y³

• 6x³y²

• 6xy

• 6x⁶y⁴

• 6x³y

What is the first question you ask yourself when factoring a polynomial?

• How many terms does it have?

• Is there a HCF?

• What strategy should I use?

• Why do I have to learn this?!?!?!

Factorise the following:

(7 - 3x) + x(7-3x)

• x(7 - 3x)

• -3x(7 - x)

• (7 - 3x)(1 + x)

• (7 - 3x)(x)

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.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by grouping:
5n³-10n²+3n-6

• (5n²+3)(n-2)
• (5n²-3)(n-2)
• (5n³+3)(n-2)
• 10n(n²-6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor p³ - 3p² - 16p + 48 

• p² ( p - 3) (p - 3) 
• (p² - 16) (p - 3)  
• (p + 4) (p - 4) (p - 3) 

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

x² + 81

• not factorable

• ( x - 9 ) ( x + 9 )

• ( x + 9 ) ( x + 9 )

• ( x - 9 ) ( x - 9 )

Tags

CCSS.HSA.APR.C.4